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Finding the Fourth Proportional to 932.91, 1,400.33 and 718.83

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Solution

The fourth proportional to 932.91, 1,400.33 and 718.83 is: 1,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.91 : 1,400.33 = 718.83 : x
  2. Step 2: Convert to fraction form
    932.91/1,400.33 = 718.83/x
  3. Step 3: Cross multiply
    932.91x = 1,400.33 × 718.83
  4. Step 4: Simplify right side
    932.91x = 1,006,595.62
  5. Step 5: Solve for x
    x = 1,006,595.62/932.91
  6. Step 6: Final answer
    x = 1,078.98

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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.