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Finding the Fourth Proportional to 748.92, 1,121.34 and 584.29

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Solution

The fourth proportional to 748.92, 1,121.34 and 584.29 is: 874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.92 : 1,121.34 = 584.29 : x
  2. Step 2: Convert to fraction form
    748.92/1,121.34 = 584.29/x
  3. Step 3: Cross multiply
    748.92x = 1,121.34 × 584.29
  4. Step 4: Simplify right side
    748.92x = 655,187.75
  5. Step 5: Solve for x
    x = 655,187.75/748.92
  6. Step 6: Final answer
    x = 874.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.