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Finding the Fourth Proportional to 1,027.03, 1,541.17 and 479.25

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Solution

The fourth proportional to 1,027.03, 1,541.17 and 479.25 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.03 : 1,541.17 = 479.25 : x
  2. Step 2: Convert to fraction form
    1,027.03/1,541.17 = 479.25/x
  3. Step 3: Cross multiply
    1,027.03x = 1,541.17 × 479.25
  4. Step 4: Simplify right side
    1,027.03x = 738,604.97
  5. Step 5: Solve for x
    x = 738,604.97/1,027.03
  6. Step 6: Final answer
    x = 719.17

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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.