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Finding the Fourth Proportional to 1,536.72, 2,305.03 and 496.78

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Solution

The fourth proportional to 1,536.72, 2,305.03 and 496.78 is: 745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.72 : 2,305.03 = 496.78 : x
  2. Step 2: Convert to fraction form
    1,536.72/2,305.03 = 496.78/x
  3. Step 3: Cross multiply
    1,536.72x = 2,305.03 × 496.78
  4. Step 4: Simplify right side
    1,536.72x = 1,145,092.80
  5. Step 5: Solve for x
    x = 1,145,092.80/1,536.72
  6. Step 6: Final answer
    x = 745.15

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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.