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Finding the Fourth Proportional to 1,028.43, 1,542.91 and 590.18

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Solution

The fourth proportional to 1,028.43, 1,542.91 and 590.18 is: 885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.43 : 1,542.91 = 590.18 : x
  2. Step 2: Convert to fraction form
    1,028.43/1,542.91 = 590.18/x
  3. Step 3: Cross multiply
    1,028.43x = 1,542.91 × 590.18
  4. Step 4: Simplify right side
    1,028.43x = 910,583.96
  5. Step 5: Solve for x
    x = 910,583.96/1,028.43
  6. Step 6: Final answer
    x = 885.41

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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.