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Finding the Fourth Proportional to 1,189.04, 1,781.26 and 725.48

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Solution

The fourth proportional to 1,189.04, 1,781.26 and 725.48 is: 1,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.04 : 1,781.26 = 725.48 : x
  2. Step 2: Convert to fraction form
    1,189.04/1,781.26 = 725.48/x
  3. Step 3: Cross multiply
    1,189.04x = 1,781.26 × 725.48
  4. Step 4: Simplify right side
    1,189.04x = 1,292,268.50
  5. Step 5: Solve for x
    x = 1,292,268.50/1,189.04
  6. Step 6: Final answer
    x = 1,086.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.