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Finding the Fourth Proportional to 706.62, 1,059.66 and 267.87

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Solution

The fourth proportional to 706.62, 1,059.66 and 267.87 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.62 : 1,059.66 = 267.87 : x
  2. Step 2: Convert to fraction form
    706.62/1,059.66 = 267.87/x
  3. Step 3: Cross multiply
    706.62x = 1,059.66 × 267.87
  4. Step 4: Simplify right side
    706.62x = 283,851.12
  5. Step 5: Solve for x
    x = 283,851.12/706.62
  6. Step 6: Final answer
    x = 401.70

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