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Finding the Fourth Proportional to 706.19, 974.39 and 444.05

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Solution

The fourth proportional to 706.19, 974.39 and 444.05 is: 612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.19 : 974.39 = 444.05 : x
  2. Step 2: Convert to fraction form
    706.19/974.39 = 444.05/x
  3. Step 3: Cross multiply
    706.19x = 974.39 × 444.05
  4. Step 4: Simplify right side
    706.19x = 432,674.12
  5. Step 5: Solve for x
    x = 432,674.12/706.19
  6. Step 6: Final answer
    x = 612.69

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