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Finding the Fourth Proportional to 782.11, 1,174.69 and 575.86

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Solution

The fourth proportional to 782.11, 1,174.69 and 575.86 is: 864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.11 : 1,174.69 = 575.86 : x
  2. Step 2: Convert to fraction form
    782.11/1,174.69 = 575.86/x
  3. Step 3: Cross multiply
    782.11x = 1,174.69 × 575.86
  4. Step 4: Simplify right side
    782.11x = 676,456.98
  5. Step 5: Solve for x
    x = 676,456.98/782.11
  6. Step 6: Final answer
    x = 864.91

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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.