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Finding the Fourth Proportional to 902.48, 1,245.29 and 504.14

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Solution

The fourth proportional to 902.48, 1,245.29 and 504.14 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.48 : 1,245.29 = 504.14 : x
  2. Step 2: Convert to fraction form
    902.48/1,245.29 = 504.14/x
  3. Step 3: Cross multiply
    902.48x = 1,245.29 × 504.14
  4. Step 4: Simplify right side
    902.48x = 627,791.75
  5. Step 5: Solve for x
    x = 627,791.75/902.48
  6. Step 6: Final answer
    x = 695.63

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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.