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Finding the Fourth Proportional to 1,291.51, 1,781.24 and 793.26

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Solution

The fourth proportional to 1,291.51, 1,781.24 and 793.26 is: 1,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.51 : 1,781.24 = 793.26 : x
  2. Step 2: Convert to fraction form
    1,291.51/1,781.24 = 793.26/x
  3. Step 3: Cross multiply
    1,291.51x = 1,781.24 × 793.26
  4. Step 4: Simplify right side
    1,291.51x = 1,412,982.48
  5. Step 5: Solve for x
    x = 1,412,982.48/1,291.51
  6. Step 6: Final answer
    x = 1,094.05

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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.