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Finding the Fourth Proportional to 1,321.94, 1,824.36 and 732.45

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Solution

The fourth proportional to 1,321.94, 1,824.36 and 732.45 is: 1,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.94 : 1,824.36 = 732.45 : x
  2. Step 2: Convert to fraction form
    1,321.94/1,824.36 = 732.45/x
  3. Step 3: Cross multiply
    1,321.94x = 1,824.36 × 732.45
  4. Step 4: Simplify right side
    1,321.94x = 1,336,252.48
  5. Step 5: Solve for x
    x = 1,336,252.48/1,321.94
  6. Step 6: Final answer
    x = 1,010.83

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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.