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Finding the Fourth Proportional to 1,020.78, 1,522.34 and 867.68

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Solution

The fourth proportional to 1,020.78, 1,522.34 and 867.68 is: 1,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.78 : 1,522.34 = 867.68 : x
  2. Step 2: Convert to fraction form
    1,020.78/1,522.34 = 867.68/x
  3. Step 3: Cross multiply
    1,020.78x = 1,522.34 × 867.68
  4. Step 4: Simplify right side
    1,020.78x = 1,320,903.97
  5. Step 5: Solve for x
    x = 1,320,903.97/1,020.78
  6. Step 6: Final answer
    x = 1,294.01

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Why These Related Problems?

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