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Finding the Fourth Proportional to 815.97, 1,222.30 and 376.60

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Solution

The fourth proportional to 815.97, 1,222.30 and 376.60 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.97 : 1,222.30 = 376.60 : x
  2. Step 2: Convert to fraction form
    815.97/1,222.30 = 376.60/x
  3. Step 3: Cross multiply
    815.97x = 1,222.30 × 376.60
  4. Step 4: Simplify right side
    815.97x = 460,318.18
  5. Step 5: Solve for x
    x = 460,318.18/815.97
  6. Step 6: Final answer
    x = 564.14

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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.