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Finding the Fourth Proportional to 706.53, 1,059.86 and 244.34

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Solution

The fourth proportional to 706.53, 1,059.86 and 244.34 is: 366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.53 : 1,059.86 = 244.34 : x
  2. Step 2: Convert to fraction form
    706.53/1,059.86 = 244.34/x
  3. Step 3: Cross multiply
    706.53x = 1,059.86 × 244.34
  4. Step 4: Simplify right side
    706.53x = 258,959.67
  5. Step 5: Solve for x
    x = 258,959.67/706.53
  6. Step 6: Final answer
    x = 366.52

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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.