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Finding the Fourth Proportional to 706.78, 1,060.28 and 295.70

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Solution

The fourth proportional to 706.78, 1,060.28 and 295.70 is: 443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 1,060.28 = 295.70 : x
  2. Step 2: Convert to fraction form
    706.78/1,060.28 = 295.70/x
  3. Step 3: Cross multiply
    706.78x = 1,060.28 × 295.70
  4. Step 4: Simplify right side
    706.78x = 313,523.32
  5. Step 5: Solve for x
    x = 313,523.32/706.78
  6. Step 6: Final answer
    x = 443.60

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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.