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Finding the Fourth Proportional to 936.78, 1,405.14 and 287.46

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Solution

The fourth proportional to 936.78, 1,405.14 and 287.46 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.78 : 1,405.14 = 287.46 : x
  2. Step 2: Convert to fraction form
    936.78/1,405.14 = 287.46/x
  3. Step 3: Cross multiply
    936.78x = 1,405.14 × 287.46
  4. Step 4: Simplify right side
    936.78x = 403,921.54
  5. Step 5: Solve for x
    x = 403,921.54/936.78
  6. Step 6: Final answer
    x = 431.18

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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.