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Finding the Fourth Proportional to 1,027.76, 1,541.64 and 258.28

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Solution

The fourth proportional to 1,027.76, 1,541.64 and 258.28 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,541.64 = 258.28 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,541.64 = 258.28/x
  3. Step 3: Cross multiply
    1,027.76x = 1,541.64 × 258.28
  4. Step 4: Simplify right side
    1,027.76x = 398,174.78
  5. Step 5: Solve for x
    x = 398,174.78/1,027.76
  6. Step 6: Final answer
    x = 387.42

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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.