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Finding the Fourth Proportional to 826.91, 1,140.81 and 547.29

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Solution

The fourth proportional to 826.91, 1,140.81 and 547.29 is: 755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.91 : 1,140.81 = 547.29 : x
  2. Step 2: Convert to fraction form
    826.91/1,140.81 = 547.29/x
  3. Step 3: Cross multiply
    826.91x = 1,140.81 × 547.29
  4. Step 4: Simplify right side
    826.91x = 624,353.90
  5. Step 5: Solve for x
    x = 624,353.90/826.91
  6. Step 6: Final answer
    x = 755.04

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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.