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Finding the Fourth Proportional to 887.28, 1,224.18 and 514.23

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Solution

The fourth proportional to 887.28, 1,224.18 and 514.23 is: 709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.28 : 1,224.18 = 514.23 : x
  2. Step 2: Convert to fraction form
    887.28/1,224.18 = 514.23/x
  3. Step 3: Cross multiply
    887.28x = 1,224.18 × 514.23
  4. Step 4: Simplify right side
    887.28x = 629,510.08
  5. Step 5: Solve for x
    x = 629,510.08/887.28
  6. Step 6: Final answer
    x = 709.48

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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.