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Finding the Fourth Proportional to 777.47, 1,166.41 and 229.67

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Solution

The fourth proportional to 777.47, 1,166.41 and 229.67 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,166.41 = 229.67 : x
  2. Step 2: Convert to fraction form
    777.47/1,166.41 = 229.67/x
  3. Step 3: Cross multiply
    777.47x = 1,166.41 × 229.67
  4. Step 4: Simplify right side
    777.47x = 267,883.55
  5. Step 5: Solve for x
    x = 267,883.55/777.47
  6. Step 6: Final answer
    x = 344.56

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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.