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Finding the Fourth Proportional to 1,321.20, 1,823.41 and 823.66

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Solution

The fourth proportional to 1,321.20, 1,823.41 and 823.66 is: 1,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.20 : 1,823.41 = 823.66 : x
  2. Step 2: Convert to fraction form
    1,321.20/1,823.41 = 823.66/x
  3. Step 3: Cross multiply
    1,321.20x = 1,823.41 × 823.66
  4. Step 4: Simplify right side
    1,321.20x = 1,501,863.79
  5. Step 5: Solve for x
    x = 1,501,863.79/1,321.20
  6. Step 6: Final answer
    x = 1,136.74

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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.