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Finding the Fourth Proportional to 781.83, 1,079.01 and 487.05

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Solution

The fourth proportional to 781.83, 1,079.01 and 487.05 is: 672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.83 : 1,079.01 = 487.05 : x
  2. Step 2: Convert to fraction form
    781.83/1,079.01 = 487.05/x
  3. Step 3: Cross multiply
    781.83x = 1,079.01 × 487.05
  4. Step 4: Simplify right side
    781.83x = 525,531.82
  5. Step 5: Solve for x
    x = 525,531.82/781.83
  6. Step 6: Final answer
    x = 672.18

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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.