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Finding the Fourth Proportional to 1,049.69, 1,566.67 and 1,032.39

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Solution

The fourth proportional to 1,049.69, 1,566.67 and 1,032.39 is: 1,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.69 : 1,566.67 = 1,032.39 : x
  2. Step 2: Convert to fraction form
    1,049.69/1,566.67 = 1,032.39/x
  3. Step 3: Cross multiply
    1,049.69x = 1,566.67 × 1,032.39
  4. Step 4: Simplify right side
    1,049.69x = 1,617,414.44
  5. Step 5: Solve for x
    x = 1,617,414.44/1,049.69
  6. Step 6: Final answer
    x = 1,540.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.