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Finding the Fourth Proportional to 1,447.15, 2,167.82 and 666.07

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Solution

The fourth proportional to 1,447.15, 2,167.82 and 666.07 is: 997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.15 : 2,167.82 = 666.07 : x
  2. Step 2: Convert to fraction form
    1,447.15/2,167.82 = 666.07/x
  3. Step 3: Cross multiply
    1,447.15x = 2,167.82 × 666.07
  4. Step 4: Simplify right side
    1,447.15x = 1,443,919.87
  5. Step 5: Solve for x
    x = 1,443,919.87/1,447.15
  6. Step 6: Final answer
    x = 997.77

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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.