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Finding the Fourth Proportional to 733.97, 1,013.22 and 524.58

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Solution

The fourth proportional to 733.97, 1,013.22 and 524.58 is: 724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.97 : 1,013.22 = 524.58 : x
  2. Step 2: Convert to fraction form
    733.97/1,013.22 = 524.58/x
  3. Step 3: Cross multiply
    733.97x = 1,013.22 × 524.58
  4. Step 4: Simplify right side
    733.97x = 531,514.95
  5. Step 5: Solve for x
    x = 531,514.95/733.97
  6. Step 6: Final answer
    x = 724.17

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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.