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Finding the Fourth Proportional to 883.93, 1,219.52 and 552.24

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Solution

The fourth proportional to 883.93, 1,219.52 and 552.24 is: 761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.93 : 1,219.52 = 552.24 : x
  2. Step 2: Convert to fraction form
    883.93/1,219.52 = 552.24/x
  3. Step 3: Cross multiply
    883.93x = 1,219.52 × 552.24
  4. Step 4: Simplify right side
    883.93x = 673,467.72
  5. Step 5: Solve for x
    x = 673,467.72/883.93
  6. Step 6: Final answer
    x = 761.90

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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.