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Finding the Fourth Proportional to 937.22, 1,406.03 and 287.93

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Solution

The fourth proportional to 937.22, 1,406.03 and 287.93 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.22 : 1,406.03 = 287.93 : x
  2. Step 2: Convert to fraction form
    937.22/1,406.03 = 287.93/x
  3. Step 3: Cross multiply
    937.22x = 1,406.03 × 287.93
  4. Step 4: Simplify right side
    937.22x = 404,838.22
  5. Step 5: Solve for x
    x = 404,838.22/937.22
  6. Step 6: Final answer
    x = 431.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.