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Finding the Fourth Proportional to 808.42, 1,115.62 and 476.84

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Solution

The fourth proportional to 808.42, 1,115.62 and 476.84 is: 658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.42 : 1,115.62 = 476.84 : x
  2. Step 2: Convert to fraction form
    808.42/1,115.62 = 476.84/x
  3. Step 3: Cross multiply
    808.42x = 1,115.62 × 476.84
  4. Step 4: Simplify right side
    808.42x = 531,972.24
  5. Step 5: Solve for x
    x = 531,972.24/808.42
  6. Step 6: Final answer
    x = 658.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.