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Finding the Fourth Proportional to 1,563.82, 2,158.08 and 865.20

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Solution

The fourth proportional to 1,563.82, 2,158.08 and 865.20 is: 1,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.82 : 2,158.08 = 865.20 : x
  2. Step 2: Convert to fraction form
    1,563.82/2,158.08 = 865.20/x
  3. Step 3: Cross multiply
    1,563.82x = 2,158.08 × 865.20
  4. Step 4: Simplify right side
    1,563.82x = 1,867,160.03
  5. Step 5: Solve for x
    x = 1,867,160.03/1,563.82
  6. Step 6: Final answer
    x = 1,193.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.