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Finding the Fourth Proportional to 801.78, 1,105.80 and 566.52

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Solution

The fourth proportional to 801.78, 1,105.80 and 566.52 is: 781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.78 : 1,105.80 = 566.52 : x
  2. Step 2: Convert to fraction form
    801.78/1,105.80 = 566.52/x
  3. Step 3: Cross multiply
    801.78x = 1,105.80 × 566.52
  4. Step 4: Simplify right side
    801.78x = 626,457.82
  5. Step 5: Solve for x
    x = 626,457.82/801.78
  6. Step 6: Final answer
    x = 781.33

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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.