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Finding the Fourth Proportional to 880.90, 1,215.48 and 566.22

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Solution

The fourth proportional to 880.90, 1,215.48 and 566.22 is: 781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.90 : 1,215.48 = 566.22 : x
  2. Step 2: Convert to fraction form
    880.90/1,215.48 = 566.22/x
  3. Step 3: Cross multiply
    880.90x = 1,215.48 × 566.22
  4. Step 4: Simplify right side
    880.90x = 688,229.09
  5. Step 5: Solve for x
    x = 688,229.09/880.90
  6. Step 6: Final answer
    x = 781.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.