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Finding the Fourth Proportional to 826.13, 1,140.48 and 546.81

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Solution

The fourth proportional to 826.13, 1,140.48 and 546.81 is: 754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,140.48 = 546.81 : x
  2. Step 2: Convert to fraction form
    826.13/1,140.48 = 546.81/x
  3. Step 3: Cross multiply
    826.13x = 1,140.48 × 546.81
  4. Step 4: Simplify right side
    826.13x = 623,625.87
  5. Step 5: Solve for x
    x = 623,625.87/826.13
  6. Step 6: Final answer
    x = 754.88

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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.