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Finding the Fourth Proportional to 706.86, 1,060.07 and 244.53

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Solution

The fourth proportional to 706.86, 1,060.07 and 244.53 is: 366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 1,060.07 = 244.53 : x
  2. Step 2: Convert to fraction form
    706.86/1,060.07 = 244.53/x
  3. Step 3: Cross multiply
    706.86x = 1,060.07 × 244.53
  4. Step 4: Simplify right side
    706.86x = 259,217.69
  5. Step 5: Solve for x
    x = 259,217.69/706.86
  6. Step 6: Final answer
    x = 366.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.