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Finding the Fourth Proportional to 884.25, 1,220.43 and 569.61

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Solution

The fourth proportional to 884.25, 1,220.43 and 569.61 is: 786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,220.43 = 569.61 : x
  2. Step 2: Convert to fraction form
    884.25/1,220.43 = 569.61/x
  3. Step 3: Cross multiply
    884.25x = 1,220.43 × 569.61
  4. Step 4: Simplify right side
    884.25x = 695,169.13
  5. Step 5: Solve for x
    x = 695,169.13/884.25
  6. Step 6: Final answer
    x = 786.17

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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.