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Finding the Fourth Proportional to 733.67, 1,013.15 and 472.14

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Solution

The fourth proportional to 733.67, 1,013.15 and 472.14 is: 651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.67 : 1,013.15 = 472.14 : x
  2. Step 2: Convert to fraction form
    733.67/1,013.15 = 472.14/x
  3. Step 3: Cross multiply
    733.67x = 1,013.15 × 472.14
  4. Step 4: Simplify right side
    733.67x = 478,348.64
  5. Step 5: Solve for x
    x = 478,348.64/733.67
  6. Step 6: Final answer
    x = 651.99

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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.