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Finding the Fourth Proportional to 887.10, 1,224.52 and 514.25

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Solution

The fourth proportional to 887.10, 1,224.52 and 514.25 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.10 : 1,224.52 = 514.25 : x
  2. Step 2: Convert to fraction form
    887.10/1,224.52 = 514.25/x
  3. Step 3: Cross multiply
    887.10x = 1,224.52 × 514.25
  4. Step 4: Simplify right side
    887.10x = 629,709.41
  5. Step 5: Solve for x
    x = 629,709.41/887.10
  6. Step 6: Final answer
    x = 709.85

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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.