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Finding the Fourth Proportional to 939.24, 1,402.14 and 816.26

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Solution

The fourth proportional to 939.24, 1,402.14 and 816.26 is: 1,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.24 : 1,402.14 = 816.26 : x
  2. Step 2: Convert to fraction form
    939.24/1,402.14 = 816.26/x
  3. Step 3: Cross multiply
    939.24x = 1,402.14 × 816.26
  4. Step 4: Simplify right side
    939.24x = 1,144,503.79
  5. Step 5: Solve for x
    x = 1,144,503.79/939.24
  6. Step 6: Final answer
    x = 1,218.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.