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Finding the Fourth Proportional to 782.35, 1,079.28 and 519.91

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Solution

The fourth proportional to 782.35, 1,079.28 and 519.91 is: 717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,079.28 = 519.91 : x
  2. Step 2: Convert to fraction form
    782.35/1,079.28 = 519.91/x
  3. Step 3: Cross multiply
    782.35x = 1,079.28 × 519.91
  4. Step 4: Simplify right side
    782.35x = 561,128.46
  5. Step 5: Solve for x
    x = 561,128.46/782.35
  6. Step 6: Final answer
    x = 717.23

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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.