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Finding the Fourth Proportional to 883.09, 1,220.23 and 635.23

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Solution

The fourth proportional to 883.09, 1,220.23 and 635.23 is: 877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.09 : 1,220.23 = 635.23 : x
  2. Step 2: Convert to fraction form
    883.09/1,220.23 = 635.23/x
  3. Step 3: Cross multiply
    883.09x = 1,220.23 × 635.23
  4. Step 4: Simplify right side
    883.09x = 775,126.70
  5. Step 5: Solve for x
    x = 775,126.70/883.09
  6. Step 6: Final answer
    x = 877.74

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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.