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Finding the Fourth Proportional to 1,504.35, 2,256.83 and 531.14

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Solution

The fourth proportional to 1,504.35, 2,256.83 and 531.14 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.35 : 2,256.83 = 531.14 : x
  2. Step 2: Convert to fraction form
    1,504.35/2,256.83 = 531.14/x
  3. Step 3: Cross multiply
    1,504.35x = 2,256.83 × 531.14
  4. Step 4: Simplify right side
    1,504.35x = 1,198,692.69
  5. Step 5: Solve for x
    x = 1,198,692.69/1,504.35
  6. Step 6: Final answer
    x = 796.82

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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.