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Finding the Fourth Proportional to 1,503.44, 2,255.22 and 578.69

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Solution

The fourth proportional to 1,503.44, 2,255.22 and 578.69 is: 868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.44 : 2,255.22 = 578.69 : x
  2. Step 2: Convert to fraction form
    1,503.44/2,255.22 = 578.69/x
  3. Step 3: Cross multiply
    1,503.44x = 2,255.22 × 578.69
  4. Step 4: Simplify right side
    1,503.44x = 1,305,061.99
  5. Step 5: Solve for x
    x = 1,305,061.99/1,503.44
  6. Step 6: Final answer
    x = 868.05

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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.