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Finding the Fourth Proportional to 777.71, 1,166.64 and 344.63

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Solution

The fourth proportional to 777.71, 1,166.64 and 344.63 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.71 : 1,166.64 = 344.63 : x
  2. Step 2: Convert to fraction form
    777.71/1,166.64 = 344.63/x
  3. Step 3: Cross multiply
    777.71x = 1,166.64 × 344.63
  4. Step 4: Simplify right side
    777.71x = 402,059.14
  5. Step 5: Solve for x
    x = 402,059.14/777.71
  6. Step 6: Final answer
    x = 516.98

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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.