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Finding the Fourth Proportional to 816.08, 1,223.16 and 523.20

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Solution

The fourth proportional to 816.08, 1,223.16 and 523.20 is: 784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.08 : 1,223.16 = 523.20 : x
  2. Step 2: Convert to fraction form
    816.08/1,223.16 = 523.20/x
  3. Step 3: Cross multiply
    816.08x = 1,223.16 × 523.20
  4. Step 4: Simplify right side
    816.08x = 639,957.31
  5. Step 5: Solve for x
    x = 639,957.31/816.08
  6. Step 6: Final answer
    x = 784.18

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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.