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Finding the Fourth Proportional to 1,027.48, 1,541.32 and 297.12

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Solution

The fourth proportional to 1,027.48, 1,541.32 and 297.12 is: 445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.48 : 1,541.32 = 297.12 : x
  2. Step 2: Convert to fraction form
    1,027.48/1,541.32 = 297.12/x
  3. Step 3: Cross multiply
    1,027.48x = 1,541.32 × 297.12
  4. Step 4: Simplify right side
    1,027.48x = 457,957.00
  5. Step 5: Solve for x
    x = 457,957.00/1,027.48
  6. Step 6: Final answer
    x = 445.71

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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.