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Finding the Fourth Proportional to 883.90, 1,220.39 and 552.47

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Solution

The fourth proportional to 883.90, 1,220.39 and 552.47 is: 762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,220.39 = 552.47 : x
  2. Step 2: Convert to fraction form
    883.90/1,220.39 = 552.47/x
  3. Step 3: Cross multiply
    883.90x = 1,220.39 × 552.47
  4. Step 4: Simplify right side
    883.90x = 674,231.22
  5. Step 5: Solve for x
    x = 674,231.22/883.90
  6. Step 6: Final answer
    x = 762.79

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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.