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Finding the Fourth Proportional to 1,043.91, 1,565.92 and 860.97

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Solution

The fourth proportional to 1,043.91, 1,565.92 and 860.97 is: 1,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.91 : 1,565.92 = 860.97 : x
  2. Step 2: Convert to fraction form
    1,043.91/1,565.92 = 860.97/x
  3. Step 3: Cross multiply
    1,043.91x = 1,565.92 × 860.97
  4. Step 4: Simplify right side
    1,043.91x = 1,348,198.01
  5. Step 5: Solve for x
    x = 1,348,198.01/1,043.91
  6. Step 6: Final answer
    x = 1,291.49

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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.