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Finding the Fourth Proportional to 821.83, 1,231.59 and 475.25

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Solution

The fourth proportional to 821.83, 1,231.59 and 475.25 is: 712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.83 : 1,231.59 = 475.25 : x
  2. Step 2: Convert to fraction form
    821.83/1,231.59 = 475.25/x
  3. Step 3: Cross multiply
    821.83x = 1,231.59 × 475.25
  4. Step 4: Simplify right side
    821.83x = 585,320.23
  5. Step 5: Solve for x
    x = 585,320.23/821.83
  6. Step 6: Final answer
    x = 712.21

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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.