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Finding the Fourth Proportional to 4.71, 7.07 and 1.71

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Solution

The fourth proportional to 4.71, 7.07 and 1.71 is: 2.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.71 : 7.07 = 1.71 : x
  2. Step 2: Convert to fraction form
    4.71/7.07 = 1.71/x
  3. Step 3: Cross multiply
    4.71x = 7.07 × 1.71
  4. Step 4: Simplify right side
    4.71x = 12.08
  5. Step 5: Solve for x
    x = 12.08/4.71
  6. Step 6: Final answer
    x = 2.56

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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.