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Finding the Fourth Proportional to 1,645.29, 2,467.94 and 658.55

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Solution

The fourth proportional to 1,645.29, 2,467.94 and 658.55 is: 987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.29 : 2,467.94 = 658.55 : x
  2. Step 2: Convert to fraction form
    1,645.29/2,467.94 = 658.55/x
  3. Step 3: Cross multiply
    1,645.29x = 2,467.94 × 658.55
  4. Step 4: Simplify right side
    1,645.29x = 1,625,264.76
  5. Step 5: Solve for x
    x = 1,625,264.76/1,645.29
  6. Step 6: Final answer
    x = 987.83

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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.