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Finding the Fourth Proportional to 1,028.52, 1,543.40 and 541.92

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Solution

The fourth proportional to 1,028.52, 1,543.40 and 541.92 is: 813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.52 : 1,543.40 = 541.92 : x
  2. Step 2: Convert to fraction form
    1,028.52/1,543.40 = 541.92/x
  3. Step 3: Cross multiply
    1,028.52x = 1,543.40 × 541.92
  4. Step 4: Simplify right side
    1,028.52x = 836,399.33
  5. Step 5: Solve for x
    x = 836,399.33/1,028.52
  6. Step 6: Final answer
    x = 813.21

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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.