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Finding the Fourth Proportional to 762.87, 1,052.76 and 413.56

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Solution

The fourth proportional to 762.87, 1,052.76 and 413.56 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.87 : 1,052.76 = 413.56 : x
  2. Step 2: Convert to fraction form
    762.87/1,052.76 = 413.56/x
  3. Step 3: Cross multiply
    762.87x = 1,052.76 × 413.56
  4. Step 4: Simplify right side
    762.87x = 435,372.09
  5. Step 5: Solve for x
    x = 435,372.09/762.87
  6. Step 6: Final answer
    x = 570.70

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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.