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Finding the Fourth Proportional to 1,338.71, 1,847.13 and 749.23

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Solution

The fourth proportional to 1,338.71, 1,847.13 and 749.23 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.71 : 1,847.13 = 749.23 : x
  2. Step 2: Convert to fraction form
    1,338.71/1,847.13 = 749.23/x
  3. Step 3: Cross multiply
    1,338.71x = 1,847.13 × 749.23
  4. Step 4: Simplify right side
    1,338.71x = 1,383,925.21
  5. Step 5: Solve for x
    x = 1,383,925.21/1,338.71
  6. Step 6: Final answer
    x = 1,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.