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Finding the Fourth Proportional to 932.92, 1,397.76 and 832.48

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Solution

The fourth proportional to 932.92, 1,397.76 and 832.48 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.92 : 1,397.76 = 832.48 : x
  2. Step 2: Convert to fraction form
    932.92/1,397.76 = 832.48/x
  3. Step 3: Cross multiply
    932.92x = 1,397.76 × 832.48
  4. Step 4: Simplify right side
    932.92x = 1,163,607.24
  5. Step 5: Solve for x
    x = 1,163,607.24/932.92
  6. Step 6: Final answer
    x = 1,247.27

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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.