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Finding the Fourth Proportional to 1,037.27, 1,431.68 and 723.20

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Solution

The fourth proportional to 1,037.27, 1,431.68 and 723.20 is: 998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.27 : 1,431.68 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,037.27/1,431.68 = 723.20/x
  3. Step 3: Cross multiply
    1,037.27x = 1,431.68 × 723.20
  4. Step 4: Simplify right side
    1,037.27x = 1,035,380.20
  5. Step 5: Solve for x
    x = 1,035,380.20/1,037.27
  6. Step 6: Final answer
    x = 998.18

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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.