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Finding the Fourth Proportional to 663.65, 994.42 and 560.45

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Solution

The fourth proportional to 663.65, 994.42 and 560.45 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.65 : 994.42 = 560.45 : x
  2. Step 2: Convert to fraction form
    663.65/994.42 = 560.45/x
  3. Step 3: Cross multiply
    663.65x = 994.42 × 560.45
  4. Step 4: Simplify right side
    663.65x = 557,322.69
  5. Step 5: Solve for x
    x = 557,322.69/663.65
  6. Step 6: Final answer
    x = 839.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.