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Finding the Fourth Proportional to 1,478.87, 2,218.32 and 748.47

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Solution

The fourth proportional to 1,478.87, 2,218.32 and 748.47 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.87 : 2,218.32 = 748.47 : x
  2. Step 2: Convert to fraction form
    1,478.87/2,218.32 = 748.47/x
  3. Step 3: Cross multiply
    1,478.87x = 2,218.32 × 748.47
  4. Step 4: Simplify right side
    1,478.87x = 1,660,345.97
  5. Step 5: Solve for x
    x = 1,660,345.97/1,478.87
  6. Step 6: Final answer
    x = 1,122.71

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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.