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Finding the Fourth Proportional to 1,478.36, 2,217.36 and 748.46

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Solution

The fourth proportional to 1,478.36, 2,217.36 and 748.46 is: 1,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.36 : 2,217.36 = 748.46 : x
  2. Step 2: Convert to fraction form
    1,478.36/2,217.36 = 748.46/x
  3. Step 3: Cross multiply
    1,478.36x = 2,217.36 × 748.46
  4. Step 4: Simplify right side
    1,478.36x = 1,659,605.27
  5. Step 5: Solve for x
    x = 1,659,605.27/1,478.36
  6. Step 6: Final answer
    x = 1,122.60

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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.