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Finding the Fourth Proportional to 826.08, 1,140.48 and 546.24

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Solution

The fourth proportional to 826.08, 1,140.48 and 546.24 is: 754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.08 : 1,140.48 = 546.24 : x
  2. Step 2: Convert to fraction form
    826.08/1,140.48 = 546.24/x
  3. Step 3: Cross multiply
    826.08x = 1,140.48 × 546.24
  4. Step 4: Simplify right side
    826.08x = 622,975.80
  5. Step 5: Solve for x
    x = 622,975.80/826.08
  6. Step 6: Final answer
    x = 754.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.