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Finding the Fourth Proportional to 909.83, 1,252.98 and 827.82

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Solution

The fourth proportional to 909.83, 1,252.98 and 827.82 is: 1,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,252.98 = 827.82 : x
  2. Step 2: Convert to fraction form
    909.83/1,252.98 = 827.82/x
  3. Step 3: Cross multiply
    909.83x = 1,252.98 × 827.82
  4. Step 4: Simplify right side
    909.83x = 1,037,235.64
  5. Step 5: Solve for x
    x = 1,037,235.64/909.83
  6. Step 6: Final answer
    x = 1,140.04

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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.