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Finding the Fourth Proportional to 816.16, 1,221.65 and 523.27

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Solution

The fourth proportional to 816.16, 1,221.65 and 523.27 is: 783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.16 : 1,221.65 = 523.27 : x
  2. Step 2: Convert to fraction form
    816.16/1,221.65 = 523.27/x
  3. Step 3: Cross multiply
    816.16x = 1,221.65 × 523.27
  4. Step 4: Simplify right side
    816.16x = 639,247.34
  5. Step 5: Solve for x
    x = 639,247.34/816.16
  6. Step 6: Final answer
    x = 783.24

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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.