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Finding the Fourth Proportional to 920.22, 1,380.12 and 767.13

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Solution

The fourth proportional to 920.22, 1,380.12 and 767.13 is: 1,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.22 : 1,380.12 = 767.13 : x
  2. Step 2: Convert to fraction form
    920.22/1,380.12 = 767.13/x
  3. Step 3: Cross multiply
    920.22x = 1,380.12 × 767.13
  4. Step 4: Simplify right side
    920.22x = 1,058,731.46
  5. Step 5: Solve for x
    x = 1,058,731.46/920.22
  6. Step 6: Final answer
    x = 1,150.52

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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.