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Finding the Fourth Proportional to 1,291.14, 1,781.28 and 793.62

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Solution

The fourth proportional to 1,291.14, 1,781.28 and 793.62 is: 1,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.14 : 1,781.28 = 793.62 : x
  2. Step 2: Convert to fraction form
    1,291.14/1,781.28 = 793.62/x
  3. Step 3: Cross multiply
    1,291.14x = 1,781.28 × 793.62
  4. Step 4: Simplify right side
    1,291.14x = 1,413,659.43
  5. Step 5: Solve for x
    x = 1,413,659.43/1,291.14
  6. Step 6: Final answer
    x = 1,094.89

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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.