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Finding the Fourth Proportional to 1,132.30, 1,563.22 and 866.25

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Solution

The fourth proportional to 1,132.30, 1,563.22 and 866.25 is: 1,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.30 : 1,563.22 = 866.25 : x
  2. Step 2: Convert to fraction form
    1,132.30/1,563.22 = 866.25/x
  3. Step 3: Cross multiply
    1,132.30x = 1,563.22 × 866.25
  4. Step 4: Simplify right side
    1,132.30x = 1,354,139.33
  5. Step 5: Solve for x
    x = 1,354,139.33/1,132.30
  6. Step 6: Final answer
    x = 1,195.92

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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.