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Finding the Fourth Proportional to 822.33, 1,233.66 and 456.33

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Solution

The fourth proportional to 822.33, 1,233.66 and 456.33 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,233.66 = 456.33 : x
  2. Step 2: Convert to fraction form
    822.33/1,233.66 = 456.33/x
  3. Step 3: Cross multiply
    822.33x = 1,233.66 × 456.33
  4. Step 4: Simplify right side
    822.33x = 562,956.07
  5. Step 5: Solve for x
    x = 562,956.07/822.33
  6. Step 6: Final answer
    x = 684.59

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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.