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Finding the Fourth Proportional to 933.85, 1,399.83 and 523.18

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Solution

The fourth proportional to 933.85, 1,399.83 and 523.18 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.85 : 1,399.83 = 523.18 : x
  2. Step 2: Convert to fraction form
    933.85/1,399.83 = 523.18/x
  3. Step 3: Cross multiply
    933.85x = 1,399.83 × 523.18
  4. Step 4: Simplify right side
    933.85x = 732,363.06
  5. Step 5: Solve for x
    x = 732,363.06/933.85
  6. Step 6: Final answer
    x = 784.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.