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Finding the Fourth Proportional to 925.61, 1,277.46 and 593.92

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Solution

The fourth proportional to 925.61, 1,277.46 and 593.92 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.61 : 1,277.46 = 593.92 : x
  2. Step 2: Convert to fraction form
    925.61/1,277.46 = 593.92/x
  3. Step 3: Cross multiply
    925.61x = 1,277.46 × 593.92
  4. Step 4: Simplify right side
    925.61x = 758,709.04
  5. Step 5: Solve for x
    x = 758,709.04/925.61
  6. Step 6: Final answer
    x = 819.69

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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.