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Finding the Fourth Proportional to 1,028.07, 1,542.48 and 853.92

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Solution

The fourth proportional to 1,028.07, 1,542.48 and 853.92 is: 1,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.07 : 1,542.48 = 853.92 : x
  2. Step 2: Convert to fraction form
    1,028.07/1,542.48 = 853.92/x
  3. Step 3: Cross multiply
    1,028.07x = 1,542.48 × 853.92
  4. Step 4: Simplify right side
    1,028.07x = 1,317,154.52
  5. Step 5: Solve for x
    x = 1,317,154.52/1,028.07
  6. Step 6: Final answer
    x = 1,281.19

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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.