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Finding the Fourth Proportional to 868.36, 1,197.21 and 710.83

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Solution

The fourth proportional to 868.36, 1,197.21 and 710.83 is: 980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.36 : 1,197.21 = 710.83 : x
  2. Step 2: Convert to fraction form
    868.36/1,197.21 = 710.83/x
  3. Step 3: Cross multiply
    868.36x = 1,197.21 × 710.83
  4. Step 4: Simplify right side
    868.36x = 851,012.78
  5. Step 5: Solve for x
    x = 851,012.78/868.36
  6. Step 6: Final answer
    x = 980.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.