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Finding the Fourth Proportional to 816.02, 1,222.99 and 523.41

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Solution

The fourth proportional to 816.02, 1,222.99 and 523.41 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.02 : 1,222.99 = 523.41 : x
  2. Step 2: Convert to fraction form
    816.02/1,222.99 = 523.41/x
  3. Step 3: Cross multiply
    816.02x = 1,222.99 × 523.41
  4. Step 4: Simplify right side
    816.02x = 640,125.20
  5. Step 5: Solve for x
    x = 640,125.20/816.02
  6. Step 6: Final answer
    x = 784.45

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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.