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Finding the Fourth Proportional to 902.32, 1,351.74 and 593.23

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Solution

The fourth proportional to 902.32, 1,351.74 and 593.23 is: 888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.32 : 1,351.74 = 593.23 : x
  2. Step 2: Convert to fraction form
    902.32/1,351.74 = 593.23/x
  3. Step 3: Cross multiply
    902.32x = 1,351.74 × 593.23
  4. Step 4: Simplify right side
    902.32x = 801,892.72
  5. Step 5: Solve for x
    x = 801,892.72/902.32
  6. Step 6: Final answer
    x = 888.70

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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.