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Finding the Fourth Proportional to 822.86, 1,233.98 and 433.15

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Solution

The fourth proportional to 822.86, 1,233.98 and 433.15 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.86 : 1,233.98 = 433.15 : x
  2. Step 2: Convert to fraction form
    822.86/1,233.98 = 433.15/x
  3. Step 3: Cross multiply
    822.86x = 1,233.98 × 433.15
  4. Step 4: Simplify right side
    822.86x = 534,497.25
  5. Step 5: Solve for x
    x = 534,497.25/822.86
  6. Step 6: Final answer
    x = 649.56

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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.