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Finding the Fourth Proportional to 733.92, 1,013.16 and 468.65

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Solution

The fourth proportional to 733.92, 1,013.16 and 468.65 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.92 : 1,013.16 = 468.65 : x
  2. Step 2: Convert to fraction form
    733.92/1,013.16 = 468.65/x
  3. Step 3: Cross multiply
    733.92x = 1,013.16 × 468.65
  4. Step 4: Simplify right side
    733.92x = 474,817.43
  5. Step 5: Solve for x
    x = 474,817.43/733.92
  6. Step 6: Final answer
    x = 646.96

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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.