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Finding the Fourth Proportional to 1,224.93, 1,691.22 and 944.67

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Solution

The fourth proportional to 1,224.93, 1,691.22 and 944.67 is: 1,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.93 : 1,691.22 = 944.67 : x
  2. Step 2: Convert to fraction form
    1,224.93/1,691.22 = 944.67/x
  3. Step 3: Cross multiply
    1,224.93x = 1,691.22 × 944.67
  4. Step 4: Simplify right side
    1,224.93x = 1,597,644.80
  5. Step 5: Solve for x
    x = 1,597,644.80/1,224.93
  6. Step 6: Final answer
    x = 1,304.27

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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.