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Finding the Fourth Proportional to 823.10, 1,232.75 and 533.66

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Solution

The fourth proportional to 823.10, 1,232.75 and 533.66 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.10 : 1,232.75 = 533.66 : x
  2. Step 2: Convert to fraction form
    823.10/1,232.75 = 533.66/x
  3. Step 3: Cross multiply
    823.10x = 1,232.75 × 533.66
  4. Step 4: Simplify right side
    823.10x = 657,864.54
  5. Step 5: Solve for x
    x = 657,864.54/823.10
  6. Step 6: Final answer
    x = 799.26

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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.