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Finding the Fourth Proportional to 815.47, 1,125.23 and 616.41

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Solution

The fourth proportional to 815.47, 1,125.23 and 616.41 is: 850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.47 : 1,125.23 = 616.41 : x
  2. Step 2: Convert to fraction form
    815.47/1,125.23 = 616.41/x
  3. Step 3: Cross multiply
    815.47x = 1,125.23 × 616.41
  4. Step 4: Simplify right side
    815.47x = 693,599.94
  5. Step 5: Solve for x
    x = 693,599.94/815.47
  6. Step 6: Final answer
    x = 850.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.