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Finding the Fourth Proportional to 1,104.34, 1,522.42 and 789.52

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Solution

The fourth proportional to 1,104.34, 1,522.42 and 789.52 is: 1,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.34 : 1,522.42 = 789.52 : x
  2. Step 2: Convert to fraction form
    1,104.34/1,522.42 = 789.52/x
  3. Step 3: Cross multiply
    1,104.34x = 1,522.42 × 789.52
  4. Step 4: Simplify right side
    1,104.34x = 1,201,981.04
  5. Step 5: Solve for x
    x = 1,201,981.04/1,104.34
  6. Step 6: Final answer
    x = 1,088.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.