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Finding the Fourth Proportional to 1,636.35, 2,454.05 and 648.71

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Solution

The fourth proportional to 1,636.35, 2,454.05 and 648.71 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.35 : 2,454.05 = 648.71 : x
  2. Step 2: Convert to fraction form
    1,636.35/2,454.05 = 648.71/x
  3. Step 3: Cross multiply
    1,636.35x = 2,454.05 × 648.71
  4. Step 4: Simplify right side
    1,636.35x = 1,591,966.78
  5. Step 5: Solve for x
    x = 1,591,966.78/1,636.35
  6. Step 6: Final answer
    x = 972.88

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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.