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Finding the Fourth Proportional to 609.66, 919.07 and 569.49

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Solution

The fourth proportional to 609.66, 919.07 and 569.49 is: 858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 919.07 = 569.49 : x
  2. Step 2: Convert to fraction form
    609.66/919.07 = 569.49/x
  3. Step 3: Cross multiply
    609.66x = 919.07 × 569.49
  4. Step 4: Simplify right side
    609.66x = 523,398.33
  5. Step 5: Solve for x
    x = 523,398.33/609.66
  6. Step 6: Final answer
    x = 858.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.