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Finding the Fourth Proportional to 706.07, 1,059.18 and 243.71

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Solution

The fourth proportional to 706.07, 1,059.18 and 243.71 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.07 : 1,059.18 = 243.71 : x
  2. Step 2: Convert to fraction form
    706.07/1,059.18 = 243.71/x
  3. Step 3: Cross multiply
    706.07x = 1,059.18 × 243.71
  4. Step 4: Simplify right side
    706.07x = 258,130.52
  5. Step 5: Solve for x
    x = 258,130.52/706.07
  6. Step 6: Final answer
    x = 365.59

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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.