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Finding the Fourth Proportional to 734.59, 1,013.88 and 472.96

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Solution

The fourth proportional to 734.59, 1,013.88 and 472.96 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,013.88 = 472.96 : x
  2. Step 2: Convert to fraction form
    734.59/1,013.88 = 472.96/x
  3. Step 3: Cross multiply
    734.59x = 1,013.88 × 472.96
  4. Step 4: Simplify right side
    734.59x = 479,524.68
  5. Step 5: Solve for x
    x = 479,524.68/734.59
  6. Step 6: Final answer
    x = 652.78

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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.