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Finding the Fourth Proportional to 887.14, 1,224.35 and 537.82

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Solution

The fourth proportional to 887.14, 1,224.35 and 537.82 is: 742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.14 : 1,224.35 = 537.82 : x
  2. Step 2: Convert to fraction form
    887.14/1,224.35 = 537.82/x
  3. Step 3: Cross multiply
    887.14x = 1,224.35 × 537.82
  4. Step 4: Simplify right side
    887.14x = 658,479.92
  5. Step 5: Solve for x
    x = 658,479.92/887.14
  6. Step 6: Final answer
    x = 742.25

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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.