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Finding the Fourth Proportional to 1,132.98, 1,563.82 and 713.04

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Solution

The fourth proportional to 1,132.98, 1,563.82 and 713.04 is: 984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.98 : 1,563.82 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,132.98/1,563.82 = 713.04/x
  3. Step 3: Cross multiply
    1,132.98x = 1,563.82 × 713.04
  4. Step 4: Simplify right side
    1,132.98x = 1,115,066.21
  5. Step 5: Solve for x
    x = 1,115,066.21/1,132.98
  6. Step 6: Final answer
    x = 984.19

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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.