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Finding the Fourth Proportional to 706.41, 1,059.80 and 267.66

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Solution

The fourth proportional to 706.41, 1,059.80 and 267.66 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.41 : 1,059.80 = 267.66 : x
  2. Step 2: Convert to fraction form
    706.41/1,059.80 = 267.66/x
  3. Step 3: Cross multiply
    706.41x = 1,059.80 × 267.66
  4. Step 4: Simplify right side
    706.41x = 283,669.22
  5. Step 5: Solve for x
    x = 283,669.22/706.41
  6. Step 6: Final answer
    x = 401.56

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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.