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Finding the Fourth Proportional to 827.52, 1,240.16 and 314.24

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Solution

The fourth proportional to 827.52, 1,240.16 and 314.24 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,240.16 = 314.24 : x
  2. Step 2: Convert to fraction form
    827.52/1,240.16 = 314.24/x
  3. Step 3: Cross multiply
    827.52x = 1,240.16 × 314.24
  4. Step 4: Simplify right side
    827.52x = 389,707.88
  5. Step 5: Solve for x
    x = 389,707.88/827.52
  6. Step 6: Final answer
    x = 470.93

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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.