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Finding the Fourth Proportional to 1,027.53, 1,542.11 and 479.43

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Solution

The fourth proportional to 1,027.53, 1,542.11 and 479.43 is: 719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.53 : 1,542.11 = 479.43 : x
  2. Step 2: Convert to fraction form
    1,027.53/1,542.11 = 479.43/x
  3. Step 3: Cross multiply
    1,027.53x = 1,542.11 × 479.43
  4. Step 4: Simplify right side
    1,027.53x = 739,331.40
  5. Step 5: Solve for x
    x = 739,331.40/1,027.53
  6. Step 6: Final answer
    x = 719.52

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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.