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Finding the Fourth Proportional to 1,337.15, 2,005.26 and 515.71

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Solution

The fourth proportional to 1,337.15, 2,005.26 and 515.71 is: 773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.15 : 2,005.26 = 515.71 : x
  2. Step 2: Convert to fraction form
    1,337.15/2,005.26 = 515.71/x
  3. Step 3: Cross multiply
    1,337.15x = 2,005.26 × 515.71
  4. Step 4: Simplify right side
    1,337.15x = 1,034,122.61
  5. Step 5: Solve for x
    x = 1,034,122.61/1,337.15
  6. Step 6: Final answer
    x = 773.38

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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.