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Finding the Fourth Proportional to 781.74, 1,079.07 and 487.26

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Solution

The fourth proportional to 781.74, 1,079.07 and 487.26 is: 672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.74 : 1,079.07 = 487.26 : x
  2. Step 2: Convert to fraction form
    781.74/1,079.07 = 487.26/x
  3. Step 3: Cross multiply
    781.74x = 1,079.07 × 487.26
  4. Step 4: Simplify right side
    781.74x = 525,787.65
  5. Step 5: Solve for x
    x = 525,787.65/781.74
  6. Step 6: Final answer
    x = 672.59

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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.