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Finding the Fourth Proportional to 1,028.40, 1,543.02 and 541.88

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Solution

The fourth proportional to 1,028.40, 1,543.02 and 541.88 is: 813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,543.02 = 541.88 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,543.02 = 541.88/x
  3. Step 3: Cross multiply
    1,028.40x = 1,543.02 × 541.88
  4. Step 4: Simplify right side
    1,028.40x = 836,131.68
  5. Step 5: Solve for x
    x = 836,131.68/1,028.40
  6. Step 6: Final answer
    x = 813.04

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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.