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Finding the Fourth Proportional to 902.77, 1,245.70 and 504.39

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Solution

The fourth proportional to 902.77, 1,245.70 and 504.39 is: 695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.77 : 1,245.70 = 504.39 : x
  2. Step 2: Convert to fraction form
    902.77/1,245.70 = 504.39/x
  3. Step 3: Cross multiply
    902.77x = 1,245.70 × 504.39
  4. Step 4: Simplify right side
    902.77x = 628,318.62
  5. Step 5: Solve for x
    x = 628,318.62/902.77
  6. Step 6: Final answer
    x = 695.99

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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.