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Finding the Fourth Proportional to 936.97, 1,405.19 and 287.76

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Solution

The fourth proportional to 936.97, 1,405.19 and 287.76 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.97 : 1,405.19 = 287.76 : x
  2. Step 2: Convert to fraction form
    936.97/1,405.19 = 287.76/x
  3. Step 3: Cross multiply
    936.97x = 1,405.19 × 287.76
  4. Step 4: Simplify right side
    936.97x = 404,349.01
  5. Step 5: Solve for x
    x = 404,349.01/936.97
  6. Step 6: Final answer
    x = 431.55

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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.