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Finding the Fourth Proportional to 1,085.80, 1,632.17 and 1,009.75

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Solution

The fourth proportional to 1,085.80, 1,632.17 and 1,009.75 is: 1,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.80 : 1,632.17 = 1,009.75 : x
  2. Step 2: Convert to fraction form
    1,085.80/1,632.17 = 1,009.75/x
  3. Step 3: Cross multiply
    1,085.80x = 1,632.17 × 1,009.75
  4. Step 4: Simplify right side
    1,085.80x = 1,648,083.66
  5. Step 5: Solve for x
    x = 1,648,083.66/1,085.80
  6. Step 6: Final answer
    x = 1,517.85

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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.