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Finding the Fourth Proportional to 1,020.78, 1,522.34 and 867.69

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Solution

The fourth proportional to 1,020.78, 1,522.34 and 867.69 is: 1,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.78 : 1,522.34 = 867.69 : x
  2. Step 2: Convert to fraction form
    1,020.78/1,522.34 = 867.69/x
  3. Step 3: Cross multiply
    1,020.78x = 1,522.34 × 867.69
  4. Step 4: Simplify right side
    1,020.78x = 1,320,919.19
  5. Step 5: Solve for x
    x = 1,320,919.19/1,020.78
  6. Step 6: Final answer
    x = 1,294.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.