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Finding the Fourth Proportional to 1,010.36, 1,517.82 and 871.93

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Solution

The fourth proportional to 1,010.36, 1,517.82 and 871.93 is: 1,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.36 : 1,517.82 = 871.93 : x
  2. Step 2: Convert to fraction form
    1,010.36/1,517.82 = 871.93/x
  3. Step 3: Cross multiply
    1,010.36x = 1,517.82 × 871.93
  4. Step 4: Simplify right side
    1,010.36x = 1,323,432.79
  5. Step 5: Solve for x
    x = 1,323,432.79/1,010.36
  6. Step 6: Final answer
    x = 1,309.86

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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.