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Finding the Fourth Proportional to 706.32, 1,057.86 and 446.31

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Solution

The fourth proportional to 706.32, 1,057.86 and 446.31 is: 668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 1,057.86 = 446.31 : x
  2. Step 2: Convert to fraction form
    706.32/1,057.86 = 446.31/x
  3. Step 3: Cross multiply
    706.32x = 1,057.86 × 446.31
  4. Step 4: Simplify right side
    706.32x = 472,133.50
  5. Step 5: Solve for x
    x = 472,133.50/706.32
  6. Step 6: Final answer
    x = 668.44

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Why These Related Problems?

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