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Finding the Fourth Proportional to 706.27, 1,059.33 and 186.25

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Solution

The fourth proportional to 706.27, 1,059.33 and 186.25 is: 279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.27 : 1,059.33 = 186.25 : x
  2. Step 2: Convert to fraction form
    706.27/1,059.33 = 186.25/x
  3. Step 3: Cross multiply
    706.27x = 1,059.33 × 186.25
  4. Step 4: Simplify right side
    706.27x = 197,300.21
  5. Step 5: Solve for x
    x = 197,300.21/706.27
  6. Step 6: Final answer
    x = 279.36

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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.