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Finding the Fourth Proportional to 654.09, 902.99 and 504.39

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Solution

The fourth proportional to 654.09, 902.99 and 504.39 is: 696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 902.99 = 504.39 : x
  2. Step 2: Convert to fraction form
    654.09/902.99 = 504.39/x
  3. Step 3: Cross multiply
    654.09x = 902.99 × 504.39
  4. Step 4: Simplify right side
    654.09x = 455,460.39
  5. Step 5: Solve for x
    x = 455,460.39/654.09
  6. Step 6: Final answer
    x = 696.33

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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.