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Finding the Fourth Proportional to 706.24, 1,059.90 and 295.57

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Solution

The fourth proportional to 706.24, 1,059.90 and 295.57 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.24 : 1,059.90 = 295.57 : x
  2. Step 2: Convert to fraction form
    706.24/1,059.90 = 295.57/x
  3. Step 3: Cross multiply
    706.24x = 1,059.90 × 295.57
  4. Step 4: Simplify right side
    706.24x = 313,274.64
  5. Step 5: Solve for x
    x = 313,274.64/706.24
  6. Step 6: Final answer
    x = 443.58

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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.