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Finding the Fourth Proportional to 781.70, 1,079.33 and 487.10

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Solution

The fourth proportional to 781.70, 1,079.33 and 487.10 is: 672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.70 : 1,079.33 = 487.10 : x
  2. Step 2: Convert to fraction form
    781.70/1,079.33 = 487.10/x
  3. Step 3: Cross multiply
    781.70x = 1,079.33 × 487.10
  4. Step 4: Simplify right side
    781.70x = 525,733.81
  5. Step 5: Solve for x
    x = 525,733.81/781.70
  6. Step 6: Final answer
    x = 672.56

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