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Finding the Fourth Proportional to 948.60, 1,422.96 and 691.56

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Solution

The fourth proportional to 948.60, 1,422.96 and 691.56 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.60 : 1,422.96 = 691.56 : x
  2. Step 2: Convert to fraction form
    948.60/1,422.96 = 691.56/x
  3. Step 3: Cross multiply
    948.60x = 1,422.96 × 691.56
  4. Step 4: Simplify right side
    948.60x = 984,062.22
  5. Step 5: Solve for x
    x = 984,062.22/948.60
  6. Step 6: Final answer
    x = 1,037.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.