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Finding the Fourth Proportional to 884.27, 1,219.15 and 569

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Solution

The fourth proportional to 884.27, 1,219.15 and 569 is: 784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.27 : 1,219.15 = 569 : x
  2. Step 2: Convert to fraction form
    884.27/1,219.15 = 569/x
  3. Step 3: Cross multiply
    884.27x = 1,219.15 × 569
  4. Step 4: Simplify right side
    884.27x = 693,696.35
  5. Step 5: Solve for x
    x = 693,696.35/884.27
  6. Step 6: Final answer
    x = 784.48

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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.