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Finding the Fourth Proportional to 660.14, 910.11 and 566.78

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Solution

The fourth proportional to 660.14, 910.11 and 566.78 is: 781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.14 : 910.11 = 566.78 : x
  2. Step 2: Convert to fraction form
    660.14/910.11 = 566.78/x
  3. Step 3: Cross multiply
    660.14x = 910.11 × 566.78
  4. Step 4: Simplify right side
    660.14x = 515,832.15
  5. Step 5: Solve for x
    x = 515,832.15/660.14
  6. Step 6: Final answer
    x = 781.40

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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.