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Finding the Fourth Proportional to 777.99, 1,166.61 and 284.38

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Solution

The fourth proportional to 777.99, 1,166.61 and 284.38 is: 426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.99 : 1,166.61 = 284.38 : x
  2. Step 2: Convert to fraction form
    777.99/1,166.61 = 284.38/x
  3. Step 3: Cross multiply
    777.99x = 1,166.61 × 284.38
  4. Step 4: Simplify right side
    777.99x = 331,760.55
  5. Step 5: Solve for x
    x = 331,760.55/777.99
  6. Step 6: Final answer
    x = 426.43

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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.