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Finding the Fourth Proportional to 888.57, 1,335.29 and 523.46

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Solution

The fourth proportional to 888.57, 1,335.29 and 523.46 is: 786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.57 : 1,335.29 = 523.46 : x
  2. Step 2: Convert to fraction form
    888.57/1,335.29 = 523.46/x
  3. Step 3: Cross multiply
    888.57x = 1,335.29 × 523.46
  4. Step 4: Simplify right side
    888.57x = 698,971.62
  5. Step 5: Solve for x
    x = 698,971.62/888.57
  6. Step 6: Final answer
    x = 786.63

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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.