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Finding the Fourth Proportional to 937.16, 1,406.30 and 863.72

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Solution

The fourth proportional to 937.16, 1,406.30 and 863.72 is: 1,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.16 : 1,406.30 = 863.72 : x
  2. Step 2: Convert to fraction form
    937.16/1,406.30 = 863.72/x
  3. Step 3: Cross multiply
    937.16x = 1,406.30 × 863.72
  4. Step 4: Simplify right side
    937.16x = 1,214,649.44
  5. Step 5: Solve for x
    x = 1,214,649.44/937.16
  6. Step 6: Final answer
    x = 1,296.10

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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.