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Finding the Fourth Proportional to 808.92, 1,214.49 and 419.24

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Solution

The fourth proportional to 808.92, 1,214.49 and 419.24 is: 629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.92 : 1,214.49 = 419.24 : x
  2. Step 2: Convert to fraction form
    808.92/1,214.49 = 419.24/x
  3. Step 3: Cross multiply
    808.92x = 1,214.49 × 419.24
  4. Step 4: Simplify right side
    808.92x = 509,162.79
  5. Step 5: Solve for x
    x = 509,162.79/808.92
  6. Step 6: Final answer
    x = 629.44

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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.