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Finding the Fourth Proportional to 706.75, 1,060.48 and 336.97

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Solution

The fourth proportional to 706.75, 1,060.48 and 336.97 is: 505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 1,060.48 = 336.97 : x
  2. Step 2: Convert to fraction form
    706.75/1,060.48 = 336.97/x
  3. Step 3: Cross multiply
    706.75x = 1,060.48 × 336.97
  4. Step 4: Simplify right side
    706.75x = 357,346.45
  5. Step 5: Solve for x
    x = 357,346.45/706.75
  6. Step 6: Final answer
    x = 505.62

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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.