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Finding the Fourth Proportional to 815.20, 1,222.09 and 584.35

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Solution

The fourth proportional to 815.20, 1,222.09 and 584.35 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.20 : 1,222.09 = 584.35 : x
  2. Step 2: Convert to fraction form
    815.20/1,222.09 = 584.35/x
  3. Step 3: Cross multiply
    815.20x = 1,222.09 × 584.35
  4. Step 4: Simplify right side
    815.20x = 714,123.78
  5. Step 5: Solve for x
    x = 714,123.78/815.20
  6. Step 6: Final answer
    x = 876.01

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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.