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Finding the Fourth Proportional to 826.43, 1,138.64 and 546.17

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Solution

The fourth proportional to 826.43, 1,138.64 and 546.17 is: 752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.43 : 1,138.64 = 546.17 : x
  2. Step 2: Convert to fraction form
    826.43/1,138.64 = 546.17/x
  3. Step 3: Cross multiply
    826.43x = 1,138.64 × 546.17
  4. Step 4: Simplify right side
    826.43x = 621,882.58
  5. Step 5: Solve for x
    x = 621,882.58/826.43
  6. Step 6: Final answer
    x = 752.50

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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.