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Finding the Fourth Proportional to 826.16, 1,239.02 and 339.54

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Solution

The fourth proportional to 826.16, 1,239.02 and 339.54 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.16 : 1,239.02 = 339.54 : x
  2. Step 2: Convert to fraction form
    826.16/1,239.02 = 339.54/x
  3. Step 3: Cross multiply
    826.16x = 1,239.02 × 339.54
  4. Step 4: Simplify right side
    826.16x = 420,695.15
  5. Step 5: Solve for x
    x = 420,695.15/826.16
  6. Step 6: Final answer
    x = 509.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.