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Finding the Fourth Proportional to 896.38, 1,237.06 and 547.14

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Solution

The fourth proportional to 896.38, 1,237.06 and 547.14 is: 755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.38 : 1,237.06 = 547.14 : x
  2. Step 2: Convert to fraction form
    896.38/1,237.06 = 547.14/x
  3. Step 3: Cross multiply
    896.38x = 1,237.06 × 547.14
  4. Step 4: Simplify right side
    896.38x = 676,845.01
  5. Step 5: Solve for x
    x = 676,845.01/896.38
  6. Step 6: Final answer
    x = 755.09

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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.