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Finding the Fourth Proportional to 706.47, 1,059.75 and 212.94

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Solution

The fourth proportional to 706.47, 1,059.75 and 212.94 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 1,059.75 = 212.94 : x
  2. Step 2: Convert to fraction form
    706.47/1,059.75 = 212.94/x
  3. Step 3: Cross multiply
    706.47x = 1,059.75 × 212.94
  4. Step 4: Simplify right side
    706.47x = 225,663.17
  5. Step 5: Solve for x
    x = 225,663.17/706.47
  6. Step 6: Final answer
    x = 319.42

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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.