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Finding the Fourth Proportional to 826.87, 1,141.14 and 546.62

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Solution

The fourth proportional to 826.87, 1,141.14 and 546.62 is: 754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.87 : 1,141.14 = 546.62 : x
  2. Step 2: Convert to fraction form
    826.87/1,141.14 = 546.62/x
  3. Step 3: Cross multiply
    826.87x = 1,141.14 × 546.62
  4. Step 4: Simplify right side
    826.87x = 623,768.52
  5. Step 5: Solve for x
    x = 623,768.52/826.87
  6. Step 6: Final answer
    x = 754.37

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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.