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Finding the Fourth Proportional to 777.46, 1,166.18 and 229.64

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Solution

The fourth proportional to 777.46, 1,166.18 and 229.64 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,166.18 = 229.64 : x
  2. Step 2: Convert to fraction form
    777.46/1,166.18 = 229.64/x
  3. Step 3: Cross multiply
    777.46x = 1,166.18 × 229.64
  4. Step 4: Simplify right side
    777.46x = 267,801.58
  5. Step 5: Solve for x
    x = 267,801.58/777.46
  6. Step 6: Final answer
    x = 344.46

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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.