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Finding the Fourth Proportional to 817.20, 1,128.24 and 596.64

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Solution

The fourth proportional to 817.20, 1,128.24 and 596.64 is: 823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.20 : 1,128.24 = 596.64 : x
  2. Step 2: Convert to fraction form
    817.20/1,128.24 = 596.64/x
  3. Step 3: Cross multiply
    817.20x = 1,128.24 × 596.64
  4. Step 4: Simplify right side
    817.20x = 673,153.11
  5. Step 5: Solve for x
    x = 673,153.11/817.20
  6. Step 6: Final answer
    x = 823.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.