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Finding the Fourth Proportional to 1,083.89, 1,494.79 and 729.52

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Solution

The fourth proportional to 1,083.89, 1,494.79 and 729.52 is: 1,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.89 : 1,494.79 = 729.52 : x
  2. Step 2: Convert to fraction form
    1,083.89/1,494.79 = 729.52/x
  3. Step 3: Cross multiply
    1,083.89x = 1,494.79 × 729.52
  4. Step 4: Simplify right side
    1,083.89x = 1,090,473.64
  5. Step 5: Solve for x
    x = 1,090,473.64/1,083.89
  6. Step 6: Final answer
    x = 1,006.07

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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.