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Finding the Fourth Proportional to 1,034.26, 1,553.82 and 601.72

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Solution

The fourth proportional to 1,034.26, 1,553.82 and 601.72 is: 903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.26 : 1,553.82 = 601.72 : x
  2. Step 2: Convert to fraction form
    1,034.26/1,553.82 = 601.72/x
  3. Step 3: Cross multiply
    1,034.26x = 1,553.82 × 601.72
  4. Step 4: Simplify right side
    1,034.26x = 934,964.57
  5. Step 5: Solve for x
    x = 934,964.57/1,034.26
  6. Step 6: Final answer
    x = 903.99

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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.