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Finding the Fourth Proportional to 782.85, 1,079.24 and 487.92

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Solution

The fourth proportional to 782.85, 1,079.24 and 487.92 is: 672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,079.24 = 487.92 : x
  2. Step 2: Convert to fraction form
    782.85/1,079.24 = 487.92/x
  3. Step 3: Cross multiply
    782.85x = 1,079.24 × 487.92
  4. Step 4: Simplify right side
    782.85x = 526,580.34
  5. Step 5: Solve for x
    x = 526,580.34/782.85
  6. Step 6: Final answer
    x = 672.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.