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Finding the Fourth Proportional to 1,027.44, 1,541.25 and 333.93

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Solution

The fourth proportional to 1,027.44, 1,541.25 and 333.93 is: 500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.44 : 1,541.25 = 333.93 : x
  2. Step 2: Convert to fraction form
    1,027.44/1,541.25 = 333.93/x
  3. Step 3: Cross multiply
    1,027.44x = 1,541.25 × 333.93
  4. Step 4: Simplify right side
    1,027.44x = 514,668.36
  5. Step 5: Solve for x
    x = 514,668.36/1,027.44
  6. Step 6: Final answer
    x = 500.92

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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.