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Finding the Fourth Proportional to 868.22, 1,197.70 and 588.36

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Solution

The fourth proportional to 868.22, 1,197.70 and 588.36 is: 811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.22 : 1,197.70 = 588.36 : x
  2. Step 2: Convert to fraction form
    868.22/1,197.70 = 588.36/x
  3. Step 3: Cross multiply
    868.22x = 1,197.70 × 588.36
  4. Step 4: Simplify right side
    868.22x = 704,677.30
  5. Step 5: Solve for x
    x = 704,677.30/868.22
  6. Step 6: Final answer
    x = 811.63

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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.