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Finding the Fourth Proportional to 1,034.82, 1,549.71 and 997.56

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Solution

The fourth proportional to 1,034.82, 1,549.71 and 997.56 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.82 : 1,549.71 = 997.56 : x
  2. Step 2: Convert to fraction form
    1,034.82/1,549.71 = 997.56/x
  3. Step 3: Cross multiply
    1,034.82x = 1,549.71 × 997.56
  4. Step 4: Simplify right side
    1,034.82x = 1,545,928.71
  5. Step 5: Solve for x
    x = 1,545,928.71/1,034.82
  6. Step 6: Final answer
    x = 1,493.91

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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.