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Finding the Fourth Proportional to 826, 1,139.36 and 546.16

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Solution

The fourth proportional to 826, 1,139.36 and 546.16 is: 753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826 : 1,139.36 = 546.16 : x
  2. Step 2: Convert to fraction form
    826/1,139.36 = 546.16/x
  3. Step 3: Cross multiply
    826x = 1,139.36 × 546.16
  4. Step 4: Simplify right side
    826x = 622,272.86
  5. Step 5: Solve for x
    x = 622,272.86/826
  6. Step 6: Final answer
    x = 753.36

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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.