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Finding the Fourth Proportional to 825.76, 1,139.40 and 716.08

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Solution

The fourth proportional to 825.76, 1,139.40 and 716.08 is: 988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.76 : 1,139.40 = 716.08 : x
  2. Step 2: Convert to fraction form
    825.76/1,139.40 = 716.08/x
  3. Step 3: Cross multiply
    825.76x = 1,139.40 × 716.08
  4. Step 4: Simplify right side
    825.76x = 815,901.55
  5. Step 5: Solve for x
    x = 815,901.55/825.76
  6. Step 6: Final answer
    x = 988.06

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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.