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Finding the Fourth Proportional to 1,478.15, 2,217.22 and 747.93

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Solution

The fourth proportional to 1,478.15, 2,217.22 and 747.93 is: 1,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.15 : 2,217.22 = 747.93 : x
  2. Step 2: Convert to fraction form
    1,478.15/2,217.22 = 747.93/x
  3. Step 3: Cross multiply
    1,478.15x = 2,217.22 × 747.93
  4. Step 4: Simplify right side
    1,478.15x = 1,658,321.61
  5. Step 5: Solve for x
    x = 1,658,321.61/1,478.15
  6. Step 6: Final answer
    x = 1,121.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.