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Finding the Fourth Proportional to 868.40, 1,191.04 and 821.36

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Solution

The fourth proportional to 868.40, 1,191.04 and 821.36 is: 1,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,191.04 = 821.36 : x
  2. Step 2: Convert to fraction form
    868.40/1,191.04 = 821.36/x
  3. Step 3: Cross multiply
    868.40x = 1,191.04 × 821.36
  4. Step 4: Simplify right side
    868.40x = 978,272.61
  5. Step 5: Solve for x
    x = 978,272.61/868.40
  6. Step 6: Final answer
    x = 1,126.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.