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Finding the Fourth Proportional to 933.59, 1,399.23 and 523.02

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Solution

The fourth proportional to 933.59, 1,399.23 and 523.02 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.59 : 1,399.23 = 523.02 : x
  2. Step 2: Convert to fraction form
    933.59/1,399.23 = 523.02/x
  3. Step 3: Cross multiply
    933.59x = 1,399.23 × 523.02
  4. Step 4: Simplify right side
    933.59x = 731,818.28
  5. Step 5: Solve for x
    x = 731,818.28/933.59
  6. Step 6: Final answer
    x = 783.88

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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.