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Finding the Fourth Proportional to 1,613.24, 2,419.76 and 517.32

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Solution

The fourth proportional to 1,613.24, 2,419.76 and 517.32 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.24 : 2,419.76 = 517.32 : x
  2. Step 2: Convert to fraction form
    1,613.24/2,419.76 = 517.32/x
  3. Step 3: Cross multiply
    1,613.24x = 2,419.76 × 517.32
  4. Step 4: Simplify right side
    1,613.24x = 1,251,790.24
  5. Step 5: Solve for x
    x = 1,251,790.24/1,613.24
  6. Step 6: Final answer
    x = 775.95

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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.