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Finding the Fourth Proportional to 932.12, 1,398.42 and 803.30

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Solution

The fourth proportional to 932.12, 1,398.42 and 803.30 is: 1,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.12 : 1,398.42 = 803.30 : x
  2. Step 2: Convert to fraction form
    932.12/1,398.42 = 803.30/x
  3. Step 3: Cross multiply
    932.12x = 1,398.42 × 803.30
  4. Step 4: Simplify right side
    932.12x = 1,123,350.79
  5. Step 5: Solve for x
    x = 1,123,350.79/932.12
  6. Step 6: Final answer
    x = 1,205.16

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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.