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Finding the Fourth Proportional to 1,321.27, 1,823.28 and 731.80

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Solution

The fourth proportional to 1,321.27, 1,823.28 and 731.80 is: 1,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.27 : 1,823.28 = 731.80 : x
  2. Step 2: Convert to fraction form
    1,321.27/1,823.28 = 731.80/x
  3. Step 3: Cross multiply
    1,321.27x = 1,823.28 × 731.80
  4. Step 4: Simplify right side
    1,321.27x = 1,334,276.30
  5. Step 5: Solve for x
    x = 1,334,276.30/1,321.27
  6. Step 6: Final answer
    x = 1,009.84

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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.