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Finding the Fourth Proportional to 661.14, 912.72 and 562.74

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Solution

The fourth proportional to 661.14, 912.72 and 562.74 is: 776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.14 : 912.72 = 562.74 : x
  2. Step 2: Convert to fraction form
    661.14/912.72 = 562.74/x
  3. Step 3: Cross multiply
    661.14x = 912.72 × 562.74
  4. Step 4: Simplify right side
    661.14x = 513,624.05
  5. Step 5: Solve for x
    x = 513,624.05/661.14
  6. Step 6: Final answer
    x = 776.88

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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.