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Finding the Fourth Proportional to 888.81, 1,333.32 and 523.65

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Solution

The fourth proportional to 888.81, 1,333.32 and 523.65 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.81 : 1,333.32 = 523.65 : x
  2. Step 2: Convert to fraction form
    888.81/1,333.32 = 523.65/x
  3. Step 3: Cross multiply
    888.81x = 1,333.32 × 523.65
  4. Step 4: Simplify right side
    888.81x = 698,193.02
  5. Step 5: Solve for x
    x = 698,193.02/888.81
  6. Step 6: Final answer
    x = 785.54

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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.