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Finding the Fourth Proportional to 1,387.39, 2,082.03 and 738.58

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Solution

The fourth proportional to 1,387.39, 2,082.03 and 738.58 is: 1,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.39 : 2,082.03 = 738.58 : x
  2. Step 2: Convert to fraction form
    1,387.39/2,082.03 = 738.58/x
  3. Step 3: Cross multiply
    1,387.39x = 2,082.03 × 738.58
  4. Step 4: Simplify right side
    1,387.39x = 1,537,745.72
  5. Step 5: Solve for x
    x = 1,537,745.72/1,387.39
  6. Step 6: Final answer
    x = 1,108.37

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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.