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Finding the Fourth Proportional to 827.24, 1,140.98 and 531.88

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Solution

The fourth proportional to 827.24, 1,140.98 and 531.88 is: 733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,140.98 = 531.88 : x
  2. Step 2: Convert to fraction form
    827.24/1,140.98 = 531.88/x
  3. Step 3: Cross multiply
    827.24x = 1,140.98 × 531.88
  4. Step 4: Simplify right side
    827.24x = 606,864.44
  5. Step 5: Solve for x
    x = 606,864.44/827.24
  6. Step 6: Final answer
    x = 733.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.