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Finding the Fourth Proportional to 821.87, 1,233.04 and 456.92

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Solution

The fourth proportional to 821.87, 1,233.04 and 456.92 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.87 : 1,233.04 = 456.92 : x
  2. Step 2: Convert to fraction form
    821.87/1,233.04 = 456.92/x
  3. Step 3: Cross multiply
    821.87x = 1,233.04 × 456.92
  4. Step 4: Simplify right side
    821.87x = 563,393.41
  5. Step 5: Solve for x
    x = 563,393.41/821.87
  6. Step 6: Final answer
    x = 685.50

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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.