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Finding the Fourth Proportional to 925.87, 1,277.81 and 532.97

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Solution

The fourth proportional to 925.87, 1,277.81 and 532.97 is: 735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.87 : 1,277.81 = 532.97 : x
  2. Step 2: Convert to fraction form
    925.87/1,277.81 = 532.97/x
  3. Step 3: Cross multiply
    925.87x = 1,277.81 × 532.97
  4. Step 4: Simplify right side
    925.87x = 681,038.72
  5. Step 5: Solve for x
    x = 681,038.72/925.87
  6. Step 6: Final answer
    x = 735.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.