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Finding the Fourth Proportional to 706.32, 1,059.27 and 461.24

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Solution

The fourth proportional to 706.32, 1,059.27 and 461.24 is: 691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 1,059.27 = 461.24 : x
  2. Step 2: Convert to fraction form
    706.32/1,059.27 = 461.24/x
  3. Step 3: Cross multiply
    706.32x = 1,059.27 × 461.24
  4. Step 4: Simplify right side
    706.32x = 488,577.69
  5. Step 5: Solve for x
    x = 488,577.69/706.32
  6. Step 6: Final answer
    x = 691.73

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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.