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Finding the Fourth Proportional to 1,613.49, 2,420.31 and 517.77

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Solution

The fourth proportional to 1,613.49, 2,420.31 and 517.77 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.49 : 2,420.31 = 517.77 : x
  2. Step 2: Convert to fraction form
    1,613.49/2,420.31 = 517.77/x
  3. Step 3: Cross multiply
    1,613.49x = 2,420.31 × 517.77
  4. Step 4: Simplify right side
    1,613.49x = 1,253,163.91
  5. Step 5: Solve for x
    x = 1,253,163.91/1,613.49
  6. Step 6: Final answer
    x = 776.68

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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.