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Finding the Fourth Proportional to 914.21, 1,371.66 and 667.64

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Solution

The fourth proportional to 914.21, 1,371.66 and 667.64 is: 1,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.21 : 1,371.66 = 667.64 : x
  2. Step 2: Convert to fraction form
    914.21/1,371.66 = 667.64/x
  3. Step 3: Cross multiply
    914.21x = 1,371.66 × 667.64
  4. Step 4: Simplify right side
    914.21x = 915,777.89
  5. Step 5: Solve for x
    x = 915,777.89/914.21
  6. Step 6: Final answer
    x = 1,001.71

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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.