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Finding the Fourth Proportional to 816.97, 1,223.80 and 377.60

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Solution

The fourth proportional to 816.97, 1,223.80 and 377.60 is: 565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.97 : 1,223.80 = 377.60 : x
  2. Step 2: Convert to fraction form
    816.97/1,223.80 = 377.60/x
  3. Step 3: Cross multiply
    816.97x = 1,223.80 × 377.60
  4. Step 4: Simplify right side
    816.97x = 462,106.88
  5. Step 5: Solve for x
    x = 462,106.88/816.97
  6. Step 6: Final answer
    x = 565.64

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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.