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Finding the Fourth Proportional to 816.22, 1,125.39 and 710.92

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Solution

The fourth proportional to 816.22, 1,125.39 and 710.92 is: 980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.22 : 1,125.39 = 710.92 : x
  2. Step 2: Convert to fraction form
    816.22/1,125.39 = 710.92/x
  3. Step 3: Cross multiply
    816.22x = 1,125.39 × 710.92
  4. Step 4: Simplify right side
    816.22x = 800,062.26
  5. Step 5: Solve for x
    x = 800,062.26/816.22
  6. Step 6: Final answer
    x = 980.20

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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.