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Finding the Fourth Proportional to 823.23, 1,233.76 and 390.51

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Solution

The fourth proportional to 823.23, 1,233.76 and 390.51 is: 585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,233.76 = 390.51 : x
  2. Step 2: Convert to fraction form
    823.23/1,233.76 = 390.51/x
  3. Step 3: Cross multiply
    823.23x = 1,233.76 × 390.51
  4. Step 4: Simplify right side
    823.23x = 481,795.62
  5. Step 5: Solve for x
    x = 481,795.62/823.23
  6. Step 6: Final answer
    x = 585.25

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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.