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Finding the Fourth Proportional to 949.48, 1,423.24 and 516.92

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Solution

The fourth proportional to 949.48, 1,423.24 and 516.92 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.48 : 1,423.24 = 516.92 : x
  2. Step 2: Convert to fraction form
    949.48/1,423.24 = 516.92/x
  3. Step 3: Cross multiply
    949.48x = 1,423.24 × 516.92
  4. Step 4: Simplify right side
    949.48x = 735,701.22
  5. Step 5: Solve for x
    x = 735,701.22/949.48
  6. Step 6: Final answer
    x = 774.85

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Why These Related Problems?

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