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Finding the Fourth Proportional to 887.31, 1,224.23 and 514.31

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Solution

The fourth proportional to 887.31, 1,224.23 and 514.31 is: 709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.31 : 1,224.23 = 514.31 : x
  2. Step 2: Convert to fraction form
    887.31/1,224.23 = 514.31/x
  3. Step 3: Cross multiply
    887.31x = 1,224.23 × 514.31
  4. Step 4: Simplify right side
    887.31x = 629,625.04
  5. Step 5: Solve for x
    x = 629,625.04/887.31
  6. Step 6: Final answer
    x = 709.59

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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.