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Finding the Fourth Proportional to 660.80, 911.16 and 562.88

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Solution

The fourth proportional to 660.80, 911.16 and 562.88 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.80 : 911.16 = 562.88 : x
  2. Step 2: Convert to fraction form
    660.80/911.16 = 562.88/x
  3. Step 3: Cross multiply
    660.80x = 911.16 × 562.88
  4. Step 4: Simplify right side
    660.80x = 512,873.74
  5. Step 5: Solve for x
    x = 512,873.74/660.80
  6. Step 6: Final answer
    x = 776.14

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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.