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Finding the Fourth Proportional to 823.07, 1,232.75 and 577.37

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Solution

The fourth proportional to 823.07, 1,232.75 and 577.37 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.07 : 1,232.75 = 577.37 : x
  2. Step 2: Convert to fraction form
    823.07/1,232.75 = 577.37/x
  3. Step 3: Cross multiply
    823.07x = 1,232.75 × 577.37
  4. Step 4: Simplify right side
    823.07x = 711,757.39
  5. Step 5: Solve for x
    x = 711,757.39/823.07
  6. Step 6: Final answer
    x = 864.76

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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.