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Finding the Fourth Proportional to 1,425.53, 2,138.58 and 451.71

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Solution

The fourth proportional to 1,425.53, 2,138.58 and 451.71 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.53 : 2,138.58 = 451.71 : x
  2. Step 2: Convert to fraction form
    1,425.53/2,138.58 = 451.71/x
  3. Step 3: Cross multiply
    1,425.53x = 2,138.58 × 451.71
  4. Step 4: Simplify right side
    1,425.53x = 966,017.97
  5. Step 5: Solve for x
    x = 966,017.97/1,425.53
  6. Step 6: Final answer
    x = 677.65

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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.