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Finding the Fourth Proportional to 938.98, 1,396.54 and 920.56

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Solution

The fourth proportional to 938.98, 1,396.54 and 920.56 is: 1,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.98 : 1,396.54 = 920.56 : x
  2. Step 2: Convert to fraction form
    938.98/1,396.54 = 920.56/x
  3. Step 3: Cross multiply
    938.98x = 1,396.54 × 920.56
  4. Step 4: Simplify right side
    938.98x = 1,285,598.86
  5. Step 5: Solve for x
    x = 1,285,598.86/938.98
  6. Step 6: Final answer
    x = 1,369.14

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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.