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Finding the Fourth Proportional to 808.82, 1,214.04 and 548.84

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Solution

The fourth proportional to 808.82, 1,214.04 and 548.84 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.82 : 1,214.04 = 548.84 : x
  2. Step 2: Convert to fraction form
    808.82/1,214.04 = 548.84/x
  3. Step 3: Cross multiply
    808.82x = 1,214.04 × 548.84
  4. Step 4: Simplify right side
    808.82x = 666,313.71
  5. Step 5: Solve for x
    x = 666,313.71/808.82
  6. Step 6: Final answer
    x = 823.81

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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.