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Finding the Fourth Proportional to 1,091.80, 1,504.20 and 925.48

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Solution

The fourth proportional to 1,091.80, 1,504.20 and 925.48 is: 1,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.80 : 1,504.20 = 925.48 : x
  2. Step 2: Convert to fraction form
    1,091.80/1,504.20 = 925.48/x
  3. Step 3: Cross multiply
    1,091.80x = 1,504.20 × 925.48
  4. Step 4: Simplify right side
    1,091.80x = 1,392,107.02
  5. Step 5: Solve for x
    x = 1,392,107.02/1,091.80
  6. Step 6: Final answer
    x = 1,275.06

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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.