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Finding the Fourth Proportional to 827.24, 1,240.38 and 339.74

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Solution

The fourth proportional to 827.24, 1,240.38 and 339.74 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,240.38 = 339.74 : x
  2. Step 2: Convert to fraction form
    827.24/1,240.38 = 339.74/x
  3. Step 3: Cross multiply
    827.24x = 1,240.38 × 339.74
  4. Step 4: Simplify right side
    827.24x = 421,406.70
  5. Step 5: Solve for x
    x = 421,406.70/827.24
  6. Step 6: Final answer
    x = 509.41

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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.