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Finding the Fourth Proportional to 757.71, 1,045.67 and 426.22

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Solution

The fourth proportional to 757.71, 1,045.67 and 426.22 is: 588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.71 : 1,045.67 = 426.22 : x
  2. Step 2: Convert to fraction form
    757.71/1,045.67 = 426.22/x
  3. Step 3: Cross multiply
    757.71x = 1,045.67 × 426.22
  4. Step 4: Simplify right side
    757.71x = 445,685.47
  5. Step 5: Solve for x
    x = 445,685.47/757.71
  6. Step 6: Final answer
    x = 588.20

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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.