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Finding the Fourth Proportional to 1,613.27, 2,420.15 and 517.75

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Solution

The fourth proportional to 1,613.27, 2,420.15 and 517.75 is: 776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.27 : 2,420.15 = 517.75 : x
  2. Step 2: Convert to fraction form
    1,613.27/2,420.15 = 517.75/x
  3. Step 3: Cross multiply
    1,613.27x = 2,420.15 × 517.75
  4. Step 4: Simplify right side
    1,613.27x = 1,253,024.02
  5. Step 5: Solve for x
    x = 1,253,024.02/1,613.27
  6. Step 6: Final answer
    x = 776.70

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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.