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Finding the Fourth Proportional to 932.80, 1,397.76 and 787.84

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Solution

The fourth proportional to 932.80, 1,397.76 and 787.84 is: 1,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.80 : 1,397.76 = 787.84 : x
  2. Step 2: Convert to fraction form
    932.80/1,397.76 = 787.84/x
  3. Step 3: Cross multiply
    932.80x = 1,397.76 × 787.84
  4. Step 4: Simplify right side
    932.80x = 1,101,211.24
  5. Step 5: Solve for x
    x = 1,101,211.24/932.80
  6. Step 6: Final answer
    x = 1,180.54

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Why These Related Problems?

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