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Finding the Fourth Proportional to 809.31, 1,214.57 and 376.77

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Solution

The fourth proportional to 809.31, 1,214.57 and 376.77 is: 565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.31 : 1,214.57 = 376.77 : x
  2. Step 2: Convert to fraction form
    809.31/1,214.57 = 376.77/x
  3. Step 3: Cross multiply
    809.31x = 1,214.57 × 376.77
  4. Step 4: Simplify right side
    809.31x = 457,613.54
  5. Step 5: Solve for x
    x = 457,613.54/809.31
  6. Step 6: Final answer
    x = 565.44

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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.