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Finding the Fourth Proportional to 1,322.80, 1,985.49 and 1,104.82

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Solution

The fourth proportional to 1,322.80, 1,985.49 and 1,104.82 is: 1,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.80 : 1,985.49 = 1,104.82 : x
  2. Step 2: Convert to fraction form
    1,322.80/1,985.49 = 1,104.82/x
  3. Step 3: Cross multiply
    1,322.80x = 1,985.49 × 1,104.82
  4. Step 4: Simplify right side
    1,322.80x = 2,193,609.06
  5. Step 5: Solve for x
    x = 2,193,609.06/1,322.80
  6. Step 6: Final answer
    x = 1,658.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.