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Finding the Fourth Proportional to 1,337.11, 2,006.48 and 515.46

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Solution

The fourth proportional to 1,337.11, 2,006.48 and 515.46 is: 773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.11 : 2,006.48 = 515.46 : x
  2. Step 2: Convert to fraction form
    1,337.11/2,006.48 = 515.46/x
  3. Step 3: Cross multiply
    1,337.11x = 2,006.48 × 515.46
  4. Step 4: Simplify right side
    1,337.11x = 1,034,260.18
  5. Step 5: Solve for x
    x = 1,034,260.18/1,337.11
  6. Step 6: Final answer
    x = 773.50

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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.