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Finding the Fourth Proportional to 1,203.25, 1,806.34 and 944.89

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Solution

The fourth proportional to 1,203.25, 1,806.34 and 944.89 is: 1,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.25 : 1,806.34 = 944.89 : x
  2. Step 2: Convert to fraction form
    1,203.25/1,806.34 = 944.89/x
  3. Step 3: Cross multiply
    1,203.25x = 1,806.34 × 944.89
  4. Step 4: Simplify right side
    1,203.25x = 1,706,785.72
  5. Step 5: Solve for x
    x = 1,706,785.72/1,203.25
  6. Step 6: Final answer
    x = 1,418.48

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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.