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Finding the Fourth Proportional to 706.47, 1,059.77 and 295.73

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Solution

The fourth proportional to 706.47, 1,059.77 and 295.73 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 1,059.77 = 295.73 : x
  2. Step 2: Convert to fraction form
    706.47/1,059.77 = 295.73/x
  3. Step 3: Cross multiply
    706.47x = 1,059.77 × 295.73
  4. Step 4: Simplify right side
    706.47x = 313,409.17
  5. Step 5: Solve for x
    x = 313,409.17/706.47
  6. Step 6: Final answer
    x = 443.63

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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.