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Finding the Fourth Proportional to 816.50, 1,223.94 and 451.46

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Solution

The fourth proportional to 816.50, 1,223.94 and 451.46 is: 676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.50 : 1,223.94 = 451.46 : x
  2. Step 2: Convert to fraction form
    816.50/1,223.94 = 451.46/x
  3. Step 3: Cross multiply
    816.50x = 1,223.94 × 451.46
  4. Step 4: Simplify right side
    816.50x = 552,559.95
  5. Step 5: Solve for x
    x = 552,559.95/816.50
  6. Step 6: Final answer
    x = 676.74

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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.