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Finding the Fourth Proportional to 816.03, 1,221.00 and 485.77

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Solution

The fourth proportional to 816.03, 1,221.00 and 485.77 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.03 : 1,221.00 = 485.77 : x
  2. Step 2: Convert to fraction form
    816.03/1,221.00 = 485.77/x
  3. Step 3: Cross multiply
    816.03x = 1,221.00 × 485.77
  4. Step 4: Simplify right side
    816.03x = 593,116.64
  5. Step 5: Solve for x
    x = 593,116.64/816.03
  6. Step 6: Final answer
    x = 726.83

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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.