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Finding the Fourth Proportional to 888.64, 1,331.52 and 523.72

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Solution

The fourth proportional to 888.64, 1,331.52 and 523.72 is: 784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.64 : 1,331.52 = 523.72 : x
  2. Step 2: Convert to fraction form
    888.64/1,331.52 = 523.72/x
  3. Step 3: Cross multiply
    888.64x = 1,331.52 × 523.72
  4. Step 4: Simplify right side
    888.64x = 697,343.65
  5. Step 5: Solve for x
    x = 697,343.65/888.64
  6. Step 6: Final answer
    x = 784.73

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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.