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Finding the Fourth Proportional to 983.13, 1,472.57 and 462.35

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Solution

The fourth proportional to 983.13, 1,472.57 and 462.35 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,472.57 = 462.35 : x
  2. Step 2: Convert to fraction form
    983.13/1,472.57 = 462.35/x
  3. Step 3: Cross multiply
    983.13x = 1,472.57 × 462.35
  4. Step 4: Simplify right side
    983.13x = 680,841.01
  5. Step 5: Solve for x
    x = 680,841.01/983.13
  6. Step 6: Final answer
    x = 692.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.