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Finding the Fourth Proportional to 4.64, 6.97 and 1.79

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Solution

The fourth proportional to 4.64, 6.97 and 1.79 is: 2.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.64 : 6.97 = 1.79 : x
  2. Step 2: Convert to fraction form
    4.64/6.97 = 1.79/x
  3. Step 3: Cross multiply
    4.64x = 6.97 × 1.79
  4. Step 4: Simplify right side
    4.64x = 12.48
  5. Step 5: Solve for x
    x = 12.48/4.64
  6. Step 6: Final answer
    x = 2.69

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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.