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Finding the Fourth Proportional to 1,092.36, 1,635.63 and 861.69

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Solution

The fourth proportional to 1,092.36, 1,635.63 and 861.69 is: 1,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.36 : 1,635.63 = 861.69 : x
  2. Step 2: Convert to fraction form
    1,092.36/1,635.63 = 861.69/x
  3. Step 3: Cross multiply
    1,092.36x = 1,635.63 × 861.69
  4. Step 4: Simplify right side
    1,092.36x = 1,409,406.01
  5. Step 5: Solve for x
    x = 1,409,406.01/1,092.36
  6. Step 6: Final answer
    x = 1,290.24

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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.