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Finding the Fourth Proportional to 887.52, 1,224.69 and 514.43

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Solution

The fourth proportional to 887.52, 1,224.69 and 514.43 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.52 : 1,224.69 = 514.43 : x
  2. Step 2: Convert to fraction form
    887.52/1,224.69 = 514.43/x
  3. Step 3: Cross multiply
    887.52x = 1,224.69 × 514.43
  4. Step 4: Simplify right side
    887.52x = 630,013.82
  5. Step 5: Solve for x
    x = 630,013.82/887.52
  6. Step 6: Final answer
    x = 709.86

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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.