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Finding the Fourth Proportional to 722.78, 1,084.47 and 311.84

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Solution

The fourth proportional to 722.78, 1,084.47 and 311.84 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.78 : 1,084.47 = 311.84 : x
  2. Step 2: Convert to fraction form
    722.78/1,084.47 = 311.84/x
  3. Step 3: Cross multiply
    722.78x = 1,084.47 × 311.84
  4. Step 4: Simplify right side
    722.78x = 338,181.12
  5. Step 5: Solve for x
    x = 338,181.12/722.78
  6. Step 6: Final answer
    x = 467.89

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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.