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Finding the Fourth Proportional to 744.25, 1,026.36 and 495.14

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Solution

The fourth proportional to 744.25, 1,026.36 and 495.14 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,026.36 = 495.14 : x
  2. Step 2: Convert to fraction form
    744.25/1,026.36 = 495.14/x
  3. Step 3: Cross multiply
    744.25x = 1,026.36 × 495.14
  4. Step 4: Simplify right side
    744.25x = 508,191.89
  5. Step 5: Solve for x
    x = 508,191.89/744.25
  6. Step 6: Final answer
    x = 682.82

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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.