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Finding the Fourth Proportional to 1,503.27, 2,074.97 and 873.96

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Solution

The fourth proportional to 1,503.27, 2,074.97 and 873.96 is: 1,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.27 : 2,074.97 = 873.96 : x
  2. Step 2: Convert to fraction form
    1,503.27/2,074.97 = 873.96/x
  3. Step 3: Cross multiply
    1,503.27x = 2,074.97 × 873.96
  4. Step 4: Simplify right side
    1,503.27x = 1,813,440.78
  5. Step 5: Solve for x
    x = 1,813,440.78/1,503.27
  6. Step 6: Final answer
    x = 1,206.33

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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.