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Finding the Fourth Proportional to 933.12, 1,288.17 and 614.25

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Solution

The fourth proportional to 933.12, 1,288.17 and 614.25 is: 847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,288.17 = 614.25 : x
  2. Step 2: Convert to fraction form
    933.12/1,288.17 = 614.25/x
  3. Step 3: Cross multiply
    933.12x = 1,288.17 × 614.25
  4. Step 4: Simplify right side
    933.12x = 791,258.42
  5. Step 5: Solve for x
    x = 791,258.42/933.12
  6. Step 6: Final answer
    x = 847.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.