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Finding the Fourth Proportional to 1,027.61, 1,541.01 and 369.29

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Solution

The fourth proportional to 1,027.61, 1,541.01 and 369.29 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.61 : 1,541.01 = 369.29 : x
  2. Step 2: Convert to fraction form
    1,027.61/1,541.01 = 369.29/x
  3. Step 3: Cross multiply
    1,027.61x = 1,541.01 × 369.29
  4. Step 4: Simplify right side
    1,027.61x = 569,071.88
  5. Step 5: Solve for x
    x = 569,071.88/1,027.61
  6. Step 6: Final answer
    x = 553.78

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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.