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Finding the Fourth Proportional to 880.91, 1,214.66 and 566.22

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Solution

The fourth proportional to 880.91, 1,214.66 and 566.22 is: 780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.91 : 1,214.66 = 566.22 : x
  2. Step 2: Convert to fraction form
    880.91/1,214.66 = 566.22/x
  3. Step 3: Cross multiply
    880.91x = 1,214.66 × 566.22
  4. Step 4: Simplify right side
    880.91x = 687,764.99
  5. Step 5: Solve for x
    x = 687,764.99/880.91
  6. Step 6: Final answer
    x = 780.75

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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.