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Finding the Fourth Proportional to 706.39, 1,059.18 and 523.78

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Solution

The fourth proportional to 706.39, 1,059.18 and 523.78 is: 785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.39 : 1,059.18 = 523.78 : x
  2. Step 2: Convert to fraction form
    706.39/1,059.18 = 523.78/x
  3. Step 3: Cross multiply
    706.39x = 1,059.18 × 523.78
  4. Step 4: Simplify right side
    706.39x = 554,777.30
  5. Step 5: Solve for x
    x = 554,777.30/706.39
  6. Step 6: Final answer
    x = 785.37

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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.