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Finding the Fourth Proportional to 944.11, 1,301.56 and 786.16

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Solution

The fourth proportional to 944.11, 1,301.56 and 786.16 is: 1,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.11 : 1,301.56 = 786.16 : x
  2. Step 2: Convert to fraction form
    944.11/1,301.56 = 786.16/x
  3. Step 3: Cross multiply
    944.11x = 1,301.56 × 786.16
  4. Step 4: Simplify right side
    944.11x = 1,023,234.41
  5. Step 5: Solve for x
    x = 1,023,234.41/944.11
  6. Step 6: Final answer
    x = 1,083.81

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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.