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Finding the Fourth Proportional to 827.39, 1,239.06 and 393.50

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Solution

The fourth proportional to 827.39, 1,239.06 and 393.50 is: 589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.39 : 1,239.06 = 393.50 : x
  2. Step 2: Convert to fraction form
    827.39/1,239.06 = 393.50/x
  3. Step 3: Cross multiply
    827.39x = 1,239.06 × 393.50
  4. Step 4: Simplify right side
    827.39x = 487,570.11
  5. Step 5: Solve for x
    x = 487,570.11/827.39
  6. Step 6: Final answer
    x = 589.29

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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.