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Finding the Fourth Proportional to 979.32, 1,468.28 and 516.72

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Solution

The fourth proportional to 979.32, 1,468.28 and 516.72 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.32 : 1,468.28 = 516.72 : x
  2. Step 2: Convert to fraction form
    979.32/1,468.28 = 516.72/x
  3. Step 3: Cross multiply
    979.32x = 1,468.28 × 516.72
  4. Step 4: Simplify right side
    979.32x = 758,689.64
  5. Step 5: Solve for x
    x = 758,689.64/979.32
  6. Step 6: Final answer
    x = 774.71

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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.