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Finding the Fourth Proportional to 888.60, 1,333.08 and 523.68

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Solution

The fourth proportional to 888.60, 1,333.08 and 523.68 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.60 : 1,333.08 = 523.68 : x
  2. Step 2: Convert to fraction form
    888.60/1,333.08 = 523.68/x
  3. Step 3: Cross multiply
    888.60x = 1,333.08 × 523.68
  4. Step 4: Simplify right side
    888.60x = 698,107.33
  5. Step 5: Solve for x
    x = 698,107.33/888.60
  6. Step 6: Final answer
    x = 785.63

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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.