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Finding the Fourth Proportional to 1,596.75, 2,203.52 and 898.14

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Solution

The fourth proportional to 1,596.75, 2,203.52 and 898.14 is: 1,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.75 : 2,203.52 = 898.14 : x
  2. Step 2: Convert to fraction form
    1,596.75/2,203.52 = 898.14/x
  3. Step 3: Cross multiply
    1,596.75x = 2,203.52 × 898.14
  4. Step 4: Simplify right side
    1,596.75x = 1,979,064.96
  5. Step 5: Solve for x
    x = 1,979,064.96/1,596.75
  6. Step 6: Final answer
    x = 1,239.43

Related Problems

Find fourth proportional to 798.38, 1,101.76 and 449.07
Half scale
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Double scale
Find fourth proportional to 1,597.75, 2,204.90 and 899.14
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.