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Finding the Fourth Proportional to 1,396.83, 2,092.05 and 666.92

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Solution

The fourth proportional to 1,396.83, 2,092.05 and 666.92 is: 998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.83 : 2,092.05 = 666.92 : x
  2. Step 2: Convert to fraction form
    1,396.83/2,092.05 = 666.92/x
  3. Step 3: Cross multiply
    1,396.83x = 2,092.05 × 666.92
  4. Step 4: Simplify right side
    1,396.83x = 1,395,225.32
  5. Step 5: Solve for x
    x = 1,395,225.32/1,396.83
  6. Step 6: Final answer
    x = 998.85

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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.