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Finding the Fourth Proportional to 868.26, 1,198.35 and 536.97

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Solution

The fourth proportional to 868.26, 1,198.35 and 536.97 is: 741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,198.35 = 536.97 : x
  2. Step 2: Convert to fraction form
    868.26/1,198.35 = 536.97/x
  3. Step 3: Cross multiply
    868.26x = 1,198.35 × 536.97
  4. Step 4: Simplify right side
    868.26x = 643,478.00
  5. Step 5: Solve for x
    x = 643,478.00/868.26
  6. Step 6: Final answer
    x = 741.11

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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.