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Finding the Fourth Proportional to 925.53, 1,388.29 and 462.61

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Solution

The fourth proportional to 925.53, 1,388.29 and 462.61 is: 693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.53 : 1,388.29 = 462.61 : x
  2. Step 2: Convert to fraction form
    925.53/1,388.29 = 462.61/x
  3. Step 3: Cross multiply
    925.53x = 1,388.29 × 462.61
  4. Step 4: Simplify right side
    925.53x = 642,236.84
  5. Step 5: Solve for x
    x = 642,236.84/925.53
  6. Step 6: Final answer
    x = 693.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.