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Finding the Fourth Proportional to 933.29, 1,399.20 and 493.97

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Solution

The fourth proportional to 933.29, 1,399.20 and 493.97 is: 740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.29 : 1,399.20 = 493.97 : x
  2. Step 2: Convert to fraction form
    933.29/1,399.20 = 493.97/x
  3. Step 3: Cross multiply
    933.29x = 1,399.20 × 493.97
  4. Step 4: Simplify right side
    933.29x = 691,155.83
  5. Step 5: Solve for x
    x = 691,155.83/933.29
  6. Step 6: Final answer
    x = 740.56

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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.