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Finding the Fourth Proportional to 984.32, 1,476.78 and 551.78

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Solution

The fourth proportional to 984.32, 1,476.78 and 551.78 is: 827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,476.78 = 551.78 : x
  2. Step 2: Convert to fraction form
    984.32/1,476.78 = 551.78/x
  3. Step 3: Cross multiply
    984.32x = 1,476.78 × 551.78
  4. Step 4: Simplify right side
    984.32x = 814,857.67
  5. Step 5: Solve for x
    x = 814,857.67/984.32
  6. Step 6: Final answer
    x = 827.84

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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.