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Finding the Fourth Proportional to 777.75, 1,167.08 and 284.11

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Solution

The fourth proportional to 777.75, 1,167.08 and 284.11 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.75 : 1,167.08 = 284.11 : x
  2. Step 2: Convert to fraction form
    777.75/1,167.08 = 284.11/x
  3. Step 3: Cross multiply
    777.75x = 1,167.08 × 284.11
  4. Step 4: Simplify right side
    777.75x = 331,578.01
  5. Step 5: Solve for x
    x = 331,578.01/777.75
  6. Step 6: Final answer
    x = 426.33

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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.