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Finding the Fourth Proportional to 809.41, 1,214.84 and 424.93

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Solution

The fourth proportional to 809.41, 1,214.84 and 424.93 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,214.84 = 424.93 : x
  2. Step 2: Convert to fraction form
    809.41/1,214.84 = 424.93/x
  3. Step 3: Cross multiply
    809.41x = 1,214.84 × 424.93
  4. Step 4: Simplify right side
    809.41x = 516,221.96
  5. Step 5: Solve for x
    x = 516,221.96/809.41
  6. Step 6: Final answer
    x = 637.78

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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.