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Finding the Fourth Proportional to 1,563.62, 2,157.81 and 865.06

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Solution

The fourth proportional to 1,563.62, 2,157.81 and 865.06 is: 1,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.62 : 2,157.81 = 865.06 : x
  2. Step 2: Convert to fraction form
    1,563.62/2,157.81 = 865.06/x
  3. Step 3: Cross multiply
    1,563.62x = 2,157.81 × 865.06
  4. Step 4: Simplify right side
    1,563.62x = 1,866,635.12
  5. Step 5: Solve for x
    x = 1,866,635.12/1,563.62
  6. Step 6: Final answer
    x = 1,193.79

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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.