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Finding the Fourth Proportional to 1,321.57, 1,823.78 and 732.11

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Solution

The fourth proportional to 1,321.57, 1,823.78 and 732.11 is: 1,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.57 : 1,823.78 = 732.11 : x
  2. Step 2: Convert to fraction form
    1,321.57/1,823.78 = 732.11/x
  3. Step 3: Cross multiply
    1,321.57x = 1,823.78 × 732.11
  4. Step 4: Simplify right side
    1,321.57x = 1,335,203.92
  5. Step 5: Solve for x
    x = 1,335,203.92/1,321.57
  6. Step 6: Final answer
    x = 1,010.32

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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.