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Finding the Fourth Proportional to 1,478.39, 2,218.96 and 748.48

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Solution

The fourth proportional to 1,478.39, 2,218.96 and 748.48 is: 1,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.39 : 2,218.96 = 748.48 : x
  2. Step 2: Convert to fraction form
    1,478.39/2,218.96 = 748.48/x
  3. Step 3: Cross multiply
    1,478.39x = 2,218.96 × 748.48
  4. Step 4: Simplify right side
    1,478.39x = 1,660,847.18
  5. Step 5: Solve for x
    x = 1,660,847.18/1,478.39
  6. Step 6: Final answer
    x = 1,123.42

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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.