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Finding the Fourth Proportional to 924.92, 1,387.39 and 516.65

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Solution

The fourth proportional to 924.92, 1,387.39 and 516.65 is: 774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.92 : 1,387.39 = 516.65 : x
  2. Step 2: Convert to fraction form
    924.92/1,387.39 = 516.65/x
  3. Step 3: Cross multiply
    924.92x = 1,387.39 × 516.65
  4. Step 4: Simplify right side
    924.92x = 716,795.04
  5. Step 5: Solve for x
    x = 716,795.04/924.92
  6. Step 6: Final answer
    x = 774.98

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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.