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Finding the Fourth Proportional to 1,192.84, 1,648.58 and 1,048.76

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Solution

The fourth proportional to 1,192.84, 1,648.58 and 1,048.76 is: 1,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.84 : 1,648.58 = 1,048.76 : x
  2. Step 2: Convert to fraction form
    1,192.84/1,648.58 = 1,048.76/x
  3. Step 3: Cross multiply
    1,192.84x = 1,648.58 × 1,048.76
  4. Step 4: Simplify right side
    1,192.84x = 1,728,964.76
  5. Step 5: Solve for x
    x = 1,728,964.76/1,192.84
  6. Step 6: Final answer
    x = 1,449.45

Related Problems

Find fourth proportional to 596.42, 824.29 and 524.38
Half scale
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Double scale
Find fourth proportional to 1,193.84, 1,649.96 and 1,049.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.