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Finding the Fourth Proportional to 826.86, 1,141.12 and 546.61

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Solution

The fourth proportional to 826.86, 1,141.12 and 546.61 is: 754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,141.12 = 546.61 : x
  2. Step 2: Convert to fraction form
    826.86/1,141.12 = 546.61/x
  3. Step 3: Cross multiply
    826.86x = 1,141.12 × 546.61
  4. Step 4: Simplify right side
    826.86x = 623,744.36
  5. Step 5: Solve for x
    x = 623,744.36/826.86
  6. Step 6: Final answer
    x = 754.35

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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.