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Finding the Fourth Proportional to 781.15, 1,171.83 and 287.49

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Solution

The fourth proportional to 781.15, 1,171.83 and 287.49 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.15 : 1,171.83 = 287.49 : x
  2. Step 2: Convert to fraction form
    781.15/1,171.83 = 287.49/x
  3. Step 3: Cross multiply
    781.15x = 1,171.83 × 287.49
  4. Step 4: Simplify right side
    781.15x = 336,889.41
  5. Step 5: Solve for x
    x = 336,889.41/781.15
  6. Step 6: Final answer
    x = 431.27

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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.