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Finding the Fourth Proportional to 758.29, 1,046.48 and 426.74

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Solution

The fourth proportional to 758.29, 1,046.48 and 426.74 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.29 : 1,046.48 = 426.74 : x
  2. Step 2: Convert to fraction form
    758.29/1,046.48 = 426.74/x
  3. Step 3: Cross multiply
    758.29x = 1,046.48 × 426.74
  4. Step 4: Simplify right side
    758.29x = 446,570.71
  5. Step 5: Solve for x
    x = 446,570.71/758.29
  6. Step 6: Final answer
    x = 588.92

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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.