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Finding the Fourth Proportional to 944.83, 1,305.38 and 889.47

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Solution

The fourth proportional to 944.83, 1,305.38 and 889.47 is: 1,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.83 : 1,305.38 = 889.47 : x
  2. Step 2: Convert to fraction form
    944.83/1,305.38 = 889.47/x
  3. Step 3: Cross multiply
    944.83x = 1,305.38 × 889.47
  4. Step 4: Simplify right side
    944.83x = 1,161,096.35
  5. Step 5: Solve for x
    x = 1,161,096.35/944.83
  6. Step 6: Final answer
    x = 1,228.89

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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.