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Finding the Fourth Proportional to 777.46, 1,166.79 and 344.62

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Solution

The fourth proportional to 777.46, 1,166.79 and 344.62 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,166.79 = 344.62 : x
  2. Step 2: Convert to fraction form
    777.46/1,166.79 = 344.62/x
  3. Step 3: Cross multiply
    777.46x = 1,166.79 × 344.62
  4. Step 4: Simplify right side
    777.46x = 402,099.17
  5. Step 5: Solve for x
    x = 402,099.17/777.46
  6. Step 6: Final answer
    x = 517.20

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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.