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Finding the Fourth Proportional to 1,073.73, 1,610.33 and 517.89

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Solution

The fourth proportional to 1,073.73, 1,610.33 and 517.89 is: 776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.73 : 1,610.33 = 517.89 : x
  2. Step 2: Convert to fraction form
    1,073.73/1,610.33 = 517.89/x
  3. Step 3: Cross multiply
    1,073.73x = 1,610.33 × 517.89
  4. Step 4: Simplify right side
    1,073.73x = 833,971.21
  5. Step 5: Solve for x
    x = 833,971.21/1,073.73
  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.