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Finding the Fourth Proportional to 883.43, 1,219.46 and 758.59

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Solution

The fourth proportional to 883.43, 1,219.46 and 758.59 is: 1,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.43 : 1,219.46 = 758.59 : x
  2. Step 2: Convert to fraction form
    883.43/1,219.46 = 758.59/x
  3. Step 3: Cross multiply
    883.43x = 1,219.46 × 758.59
  4. Step 4: Simplify right side
    883.43x = 925,067.59
  5. Step 5: Solve for x
    x = 925,067.59/883.43
  6. Step 6: Final answer
    x = 1,047.13

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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.