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Finding the Fourth Proportional to 715.73, 1,074.13 and 532.57

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Solution

The fourth proportional to 715.73, 1,074.13 and 532.57 is: 799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.73 : 1,074.13 = 532.57 : x
  2. Step 2: Convert to fraction form
    715.73/1,074.13 = 532.57/x
  3. Step 3: Cross multiply
    715.73x = 1,074.13 × 532.57
  4. Step 4: Simplify right side
    715.73x = 572,049.41
  5. Step 5: Solve for x
    x = 572,049.41/715.73
  6. Step 6: Final answer
    x = 799.25

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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.