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Finding the Fourth Proportional to 1,478.26, 2,217.38 and 452.26

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Solution

The fourth proportional to 1,478.26, 2,217.38 and 452.26 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.26 : 2,217.38 = 452.26 : x
  2. Step 2: Convert to fraction form
    1,478.26/2,217.38 = 452.26/x
  3. Step 3: Cross multiply
    1,478.26x = 2,217.38 × 452.26
  4. Step 4: Simplify right side
    1,478.26x = 1,002,832.28
  5. Step 5: Solve for x
    x = 1,002,832.28/1,478.26
  6. Step 6: Final answer
    x = 678.39

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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.