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Finding the Fourth Proportional to 1,094.07, 1,640.49 and 363.26

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Solution

The fourth proportional to 1,094.07, 1,640.49 and 363.26 is: 544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.07 : 1,640.49 = 363.26 : x
  2. Step 2: Convert to fraction form
    1,094.07/1,640.49 = 363.26/x
  3. Step 3: Cross multiply
    1,094.07x = 1,640.49 × 363.26
  4. Step 4: Simplify right side
    1,094.07x = 595,916.19
  5. Step 5: Solve for x
    x = 595,916.19/1,094.07
  6. Step 6: Final answer
    x = 544.68

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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.