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Finding the Fourth Proportional to 755.98, 1,134.54 and 495.91

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Solution

The fourth proportional to 755.98, 1,134.54 and 495.91 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.98 : 1,134.54 = 495.91 : x
  2. Step 2: Convert to fraction form
    755.98/1,134.54 = 495.91/x
  3. Step 3: Cross multiply
    755.98x = 1,134.54 × 495.91
  4. Step 4: Simplify right side
    755.98x = 562,629.73
  5. Step 5: Solve for x
    x = 562,629.73/755.98
  6. Step 6: Final answer
    x = 744.24

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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.