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Finding the Fourth Proportional to 883.83, 1,219.74 and 552.44

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Solution

The fourth proportional to 883.83, 1,219.74 and 552.44 is: 762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,219.74 = 552.44 : x
  2. Step 2: Convert to fraction form
    883.83/1,219.74 = 552.44/x
  3. Step 3: Cross multiply
    883.83x = 1,219.74 × 552.44
  4. Step 4: Simplify right side
    883.83x = 673,827.07
  5. Step 5: Solve for x
    x = 673,827.07/883.83
  6. Step 6: Final answer
    x = 762.39

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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.