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Finding the Fourth Proportional to 762.50, 1,052.24 and 413.20

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Solution

The fourth proportional to 762.50, 1,052.24 and 413.20 is: 570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.50 : 1,052.24 = 413.20 : x
  2. Step 2: Convert to fraction form
    762.50/1,052.24 = 413.20/x
  3. Step 3: Cross multiply
    762.50x = 1,052.24 × 413.20
  4. Step 4: Simplify right side
    762.50x = 434,785.57
  5. Step 5: Solve for x
    x = 434,785.57/762.50
  6. Step 6: Final answer
    x = 570.21

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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.