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Finding the Fourth Proportional to 1,091.28, 1,504.80 and 829.20

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Solution

The fourth proportional to 1,091.28, 1,504.80 and 829.20 is: 1,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.28 : 1,504.80 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,091.28/1,504.80 = 829.20/x
  3. Step 3: Cross multiply
    1,091.28x = 1,504.80 × 829.20
  4. Step 4: Simplify right side
    1,091.28x = 1,247,780.16
  5. Step 5: Solve for x
    x = 1,247,780.16/1,091.28
  6. Step 6: Final answer
    x = 1,143.41

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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.