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Finding the Fourth Proportional to 816.80, 1,224.99 and 465.66

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Solution

The fourth proportional to 816.80, 1,224.99 and 465.66 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.80 : 1,224.99 = 465.66 : x
  2. Step 2: Convert to fraction form
    816.80/1,224.99 = 465.66/x
  3. Step 3: Cross multiply
    816.80x = 1,224.99 × 465.66
  4. Step 4: Simplify right side
    816.80x = 570,428.84
  5. Step 5: Solve for x
    x = 570,428.84/816.80
  6. Step 6: Final answer
    x = 698.37

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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.