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Finding the Fourth Proportional to 1,658.71, 2,488.07 and 426.13

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Solution

The fourth proportional to 1,658.71, 2,488.07 and 426.13 is: 639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.71 : 2,488.07 = 426.13 : x
  2. Step 2: Convert to fraction form
    1,658.71/2,488.07 = 426.13/x
  3. Step 3: Cross multiply
    1,658.71x = 2,488.07 × 426.13
  4. Step 4: Simplify right side
    1,658.71x = 1,060,241.27
  5. Step 5: Solve for x
    x = 1,060,241.27/1,658.71
  6. Step 6: Final answer
    x = 639.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.