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Finding the Fourth Proportional to 1,092.83, 1,508.42 and 720.09

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Solution

The fourth proportional to 1,092.83, 1,508.42 and 720.09 is: 993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.83 : 1,508.42 = 720.09 : x
  2. Step 2: Convert to fraction form
    1,092.83/1,508.42 = 720.09/x
  3. Step 3: Cross multiply
    1,092.83x = 1,508.42 × 720.09
  4. Step 4: Simplify right side
    1,092.83x = 1,086,199.96
  5. Step 5: Solve for x
    x = 1,086,199.96/1,092.83
  6. Step 6: Final answer
    x = 993.94

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