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Finding the Fourth Proportional to 825.77, 1,239.37 and 339.17

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Solution

The fourth proportional to 825.77, 1,239.37 and 339.17 is: 509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.77 : 1,239.37 = 339.17 : x
  2. Step 2: Convert to fraction form
    825.77/1,239.37 = 339.17/x
  3. Step 3: Cross multiply
    825.77x = 1,239.37 × 339.17
  4. Step 4: Simplify right side
    825.77x = 420,350.08
  5. Step 5: Solve for x
    x = 420,350.08/825.77
  6. Step 6: Final answer
    x = 509.04

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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.