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Finding the Fourth Proportional to 738.92, 1,106.22 and 593.12

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Solution

The fourth proportional to 738.92, 1,106.22 and 593.12 is: 887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.92 : 1,106.22 = 593.12 : x
  2. Step 2: Convert to fraction form
    738.92/1,106.22 = 593.12/x
  3. Step 3: Cross multiply
    738.92x = 1,106.22 × 593.12
  4. Step 4: Simplify right side
    738.92x = 656,121.21
  5. Step 5: Solve for x
    x = 656,121.21/738.92
  6. Step 6: Final answer
    x = 887.95

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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.