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Finding the Fourth Proportional to 825.91, 1,139.43 and 546.29

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Solution

The fourth proportional to 825.91, 1,139.43 and 546.29 is: 753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.91 : 1,139.43 = 546.29 : x
  2. Step 2: Convert to fraction form
    825.91/1,139.43 = 546.29/x
  3. Step 3: Cross multiply
    825.91x = 1,139.43 × 546.29
  4. Step 4: Simplify right side
    825.91x = 622,459.21
  5. Step 5: Solve for x
    x = 622,459.21/825.91
  6. Step 6: Final answer
    x = 753.66

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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.