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Finding the Fourth Proportional to 706.06, 1,057.72 and 461.84

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Solution

The fourth proportional to 706.06, 1,057.72 and 461.84 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 1,057.72 = 461.84 : x
  2. Step 2: Convert to fraction form
    706.06/1,057.72 = 461.84/x
  3. Step 3: Cross multiply
    706.06x = 1,057.72 × 461.84
  4. Step 4: Simplify right side
    706.06x = 488,497.40
  5. Step 5: Solve for x
    x = 488,497.40/706.06
  6. Step 6: Final answer
    x = 691.86

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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.