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Finding the Fourth Proportional to 1,027.56, 1,541.60 and 369.41

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Solution

The fourth proportional to 1,027.56, 1,541.60 and 369.41 is: 554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,541.60 = 369.41 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,541.60 = 369.41/x
  3. Step 3: Cross multiply
    1,027.56x = 1,541.60 × 369.41
  4. Step 4: Simplify right side
    1,027.56x = 569,482.46
  5. Step 5: Solve for x
    x = 569,482.46/1,027.56
  6. Step 6: Final answer
    x = 554.21

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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.