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Finding the Fourth Proportional to 706.06, 974.24 and 443.89

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Solution

The fourth proportional to 706.06, 974.24 and 443.89 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 974.24 = 443.89 : x
  2. Step 2: Convert to fraction form
    706.06/974.24 = 443.89/x
  3. Step 3: Cross multiply
    706.06x = 974.24 × 443.89
  4. Step 4: Simplify right side
    706.06x = 432,450.52
  5. Step 5: Solve for x
    x = 432,450.52/706.06
  6. Step 6: Final answer
    x = 612.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.