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Finding the Fourth Proportional to 706.12, 974.34 and 444.04

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Solution

The fourth proportional to 706.12, 974.34 and 444.04 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 974.34 = 444.04 : x
  2. Step 2: Convert to fraction form
    706.12/974.34 = 444.04/x
  3. Step 3: Cross multiply
    706.12x = 974.34 × 444.04
  4. Step 4: Simplify right side
    706.12x = 432,645.93
  5. Step 5: Solve for x
    x = 432,645.93/706.12
  6. Step 6: Final answer
    x = 612.71

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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.