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Finding the Fourth Proportional to 821.98, 1,233.51 and 456.94

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Solution

The fourth proportional to 821.98, 1,233.51 and 456.94 is: 685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,233.51 = 456.94 : x
  2. Step 2: Convert to fraction form
    821.98/1,233.51 = 456.94/x
  3. Step 3: Cross multiply
    821.98x = 1,233.51 × 456.94
  4. Step 4: Simplify right side
    821.98x = 563,640.06
  5. Step 5: Solve for x
    x = 563,640.06/821.98
  6. Step 6: Final answer
    x = 685.71

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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.