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Finding the Fourth Proportional to 1,338.07, 2,006.08 and 754.76

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Solution

The fourth proportional to 1,338.07, 2,006.08 and 754.76 is: 1,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.07 : 2,006.08 = 754.76 : x
  2. Step 2: Convert to fraction form
    1,338.07/2,006.08 = 754.76/x
  3. Step 3: Cross multiply
    1,338.07x = 2,006.08 × 754.76
  4. Step 4: Simplify right side
    1,338.07x = 1,514,099.03
  5. Step 5: Solve for x
    x = 1,514,099.03/1,338.07
  6. Step 6: Final answer
    x = 1,131.55

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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.