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Finding the Fourth Proportional to 1,027.71, 1,541.69 and 472.32

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Solution

The fourth proportional to 1,027.71, 1,541.69 and 472.32 is: 708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.71 : 1,541.69 = 472.32 : x
  2. Step 2: Convert to fraction form
    1,027.71/1,541.69 = 472.32/x
  3. Step 3: Cross multiply
    1,027.71x = 1,541.69 × 472.32
  4. Step 4: Simplify right side
    1,027.71x = 728,168.66
  5. Step 5: Solve for x
    x = 728,168.66/1,027.71
  6. Step 6: Final answer
    x = 708.54

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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.