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Finding the Fourth Proportional to 808.47, 1,212.66 and 261.05

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Solution

The fourth proportional to 808.47, 1,212.66 and 261.05 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.47 : 1,212.66 = 261.05 : x
  2. Step 2: Convert to fraction form
    808.47/1,212.66 = 261.05/x
  3. Step 3: Cross multiply
    808.47x = 1,212.66 × 261.05
  4. Step 4: Simplify right side
    808.47x = 316,558.83
  5. Step 5: Solve for x
    x = 316,558.83/808.47
  6. Step 6: Final answer
    x = 391.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.