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Finding the Fourth Proportional to 1,454.68, 2,182.15 and 414.70

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Solution

The fourth proportional to 1,454.68, 2,182.15 and 414.70 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.68 : 2,182.15 = 414.70 : x
  2. Step 2: Convert to fraction form
    1,454.68/2,182.15 = 414.70/x
  3. Step 3: Cross multiply
    1,454.68x = 2,182.15 × 414.70
  4. Step 4: Simplify right side
    1,454.68x = 904,937.61
  5. Step 5: Solve for x
    x = 904,937.61/1,454.68
  6. Step 6: Final answer
    x = 622.09

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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.