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Finding the Fourth Proportional to 934.44, 1,403.82 and 809.16

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Solution

The fourth proportional to 934.44, 1,403.82 and 809.16 is: 1,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.44 : 1,403.82 = 809.16 : x
  2. Step 2: Convert to fraction form
    934.44/1,403.82 = 809.16/x
  3. Step 3: Cross multiply
    934.44x = 1,403.82 × 809.16
  4. Step 4: Simplify right side
    934.44x = 1,135,914.99
  5. Step 5: Solve for x
    x = 1,135,914.99/934.44
  6. Step 6: Final answer
    x = 1,215.61

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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.