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Finding the Fourth Proportional to 1,167.92, 1,611.72 and 663.87

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Solution

The fourth proportional to 1,167.92, 1,611.72 and 663.87 is: 916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.92 : 1,611.72 = 663.87 : x
  2. Step 2: Convert to fraction form
    1,167.92/1,611.72 = 663.87/x
  3. Step 3: Cross multiply
    1,167.92x = 1,611.72 × 663.87
  4. Step 4: Simplify right side
    1,167.92x = 1,069,972.56
  5. Step 5: Solve for x
    x = 1,069,972.56/1,167.92
  6. Step 6: Final answer
    x = 916.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.