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Finding the Fourth Proportional to 933.06, 1,396.71 and 738.66

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Solution

The fourth proportional to 933.06, 1,396.71 and 738.66 is: 1,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.06 : 1,396.71 = 738.66 : x
  2. Step 2: Convert to fraction form
    933.06/1,396.71 = 738.66/x
  3. Step 3: Cross multiply
    933.06x = 1,396.71 × 738.66
  4. Step 4: Simplify right side
    933.06x = 1,031,693.81
  5. Step 5: Solve for x
    x = 1,031,693.81/933.06
  6. Step 6: Final answer
    x = 1,105.71

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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.