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Finding the Fourth Proportional to 932.32, 1,393.46 and 814.27

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Solution

The fourth proportional to 932.32, 1,393.46 and 814.27 is: 1,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,393.46 = 814.27 : x
  2. Step 2: Convert to fraction form
    932.32/1,393.46 = 814.27/x
  3. Step 3: Cross multiply
    932.32x = 1,393.46 × 814.27
  4. Step 4: Simplify right side
    932.32x = 1,134,645.71
  5. Step 5: Solve for x
    x = 1,134,645.71/932.32
  6. Step 6: Final answer
    x = 1,217.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.