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Finding the Fourth Proportional to 757.09, 1,044.51 and 495.26

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Solution

The fourth proportional to 757.09, 1,044.51 and 495.26 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.09 : 1,044.51 = 495.26 : x
  2. Step 2: Convert to fraction form
    757.09/1,044.51 = 495.26/x
  3. Step 3: Cross multiply
    757.09x = 1,044.51 × 495.26
  4. Step 4: Simplify right side
    757.09x = 517,298.80
  5. Step 5: Solve for x
    x = 517,298.80/757.09
  6. Step 6: Final answer
    x = 683.28

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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.