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Finding the Fourth Proportional to 777.56, 1,166.30 and 229.74

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Solution

The fourth proportional to 777.56, 1,166.30 and 229.74 is: 344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.56 : 1,166.30 = 229.74 : x
  2. Step 2: Convert to fraction form
    777.56/1,166.30 = 229.74/x
  3. Step 3: Cross multiply
    777.56x = 1,166.30 × 229.74
  4. Step 4: Simplify right side
    777.56x = 267,945.76
  5. Step 5: Solve for x
    x = 267,945.76/777.56
  6. Step 6: Final answer
    x = 344.60

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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.