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Finding the Fourth Proportional to 1,048.43, 1,443.69 and 826.70

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Solution

The fourth proportional to 1,048.43, 1,443.69 and 826.70 is: 1,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.43 : 1,443.69 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,048.43/1,443.69 = 826.70/x
  3. Step 3: Cross multiply
    1,048.43x = 1,443.69 × 826.70
  4. Step 4: Simplify right side
    1,048.43x = 1,193,491.30
  5. Step 5: Solve for x
    x = 1,193,491.30/1,048.43
  6. Step 6: Final answer
    x = 1,138.36

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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.