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Finding the Fourth Proportional to 932.44, 1,285.46 and 903.72

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Solution

The fourth proportional to 932.44, 1,285.46 and 903.72 is: 1,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.44 : 1,285.46 = 903.72 : x
  2. Step 2: Convert to fraction form
    932.44/1,285.46 = 903.72/x
  3. Step 3: Cross multiply
    932.44x = 1,285.46 × 903.72
  4. Step 4: Simplify right side
    932.44x = 1,161,695.91
  5. Step 5: Solve for x
    x = 1,161,695.91/932.44
  6. Step 6: Final answer
    x = 1,245.87

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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.