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Finding the Fourth Proportional to 1,613.73, 2,420.61 and 517.95

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Solution

The fourth proportional to 1,613.73, 2,420.61 and 517.95 is: 776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.73 : 2,420.61 = 517.95 : x
  2. Step 2: Convert to fraction form
    1,613.73/2,420.61 = 517.95/x
  3. Step 3: Cross multiply
    1,613.73x = 2,420.61 × 517.95
  4. Step 4: Simplify right side
    1,613.73x = 1,253,754.95
  5. Step 5: Solve for x
    x = 1,253,754.95/1,613.73
  6. Step 6: Final answer
    x = 776.93

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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.