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Finding the Fourth Proportional to 1,014.41, 1,521.96 and 667.91

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Solution

The fourth proportional to 1,014.41, 1,521.96 and 667.91 is: 1,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.41 : 1,521.96 = 667.91 : x
  2. Step 2: Convert to fraction form
    1,014.41/1,521.96 = 667.91/x
  3. Step 3: Cross multiply
    1,014.41x = 1,521.96 × 667.91
  4. Step 4: Simplify right side
    1,014.41x = 1,016,536.11
  5. Step 5: Solve for x
    x = 1,016,536.11/1,014.41
  6. Step 6: Final answer
    x = 1,002.09

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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.