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Finding the Fourth Proportional to 1,337.71, 2,006.41 and 363.74

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Solution

The fourth proportional to 1,337.71, 2,006.41 and 363.74 is: 545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.71 : 2,006.41 = 363.74 : x
  2. Step 2: Convert to fraction form
    1,337.71/2,006.41 = 363.74/x
  3. Step 3: Cross multiply
    1,337.71x = 2,006.41 × 363.74
  4. Step 4: Simplify right side
    1,337.71x = 729,811.57
  5. Step 5: Solve for x
    x = 729,811.57/1,337.71
  6. Step 6: Final answer
    x = 545.57

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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.