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Finding the Fourth Proportional to 942.20, 1,301.85 and 908.93

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Solution

The fourth proportional to 942.20, 1,301.85 and 908.93 is: 1,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.20 : 1,301.85 = 908.93 : x
  2. Step 2: Convert to fraction form
    942.20/1,301.85 = 908.93/x
  3. Step 3: Cross multiply
    942.20x = 1,301.85 × 908.93
  4. Step 4: Simplify right side
    942.20x = 1,183,284.01
  5. Step 5: Solve for x
    x = 1,183,284.01/942.20
  6. Step 6: Final answer
    x = 1,255.88

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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.