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Finding the Fourth Proportional to 1,462.32, 2,017.68 and 872.76

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Solution

The fourth proportional to 1,462.32, 2,017.68 and 872.76 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.32 : 2,017.68 = 872.76 : x
  2. Step 2: Convert to fraction form
    1,462.32/2,017.68 = 872.76/x
  3. Step 3: Cross multiply
    1,462.32x = 2,017.68 × 872.76
  4. Step 4: Simplify right side
    1,462.32x = 1,760,950.40
  5. Step 5: Solve for x
    x = 1,760,950.40/1,462.32
  6. Step 6: Final answer
    x = 1,204.22

Related Problems

Find fourth proportional to 731.16, 1,008.84 and 436.38
Half scale
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Double scale
Find fourth proportional to 1,463.32, 2,019.06 and 873.76
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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.