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Finding the Fourth Proportional to 933.11, 1,399.67 and 931.76

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Solution

The fourth proportional to 933.11, 1,399.67 and 931.76 is: 1,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.11 : 1,399.67 = 931.76 : x
  2. Step 2: Convert to fraction form
    933.11/1,399.67 = 931.76/x
  3. Step 3: Cross multiply
    933.11x = 1,399.67 × 931.76
  4. Step 4: Simplify right side
    933.11x = 1,304,151.86
  5. Step 5: Solve for x
    x = 1,304,151.86/933.11
  6. Step 6: Final answer
    x = 1,397.64

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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.