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Finding the Fourth Proportional to 896.14, 1,236.73 and 497.82

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Solution

The fourth proportional to 896.14, 1,236.73 and 497.82 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.14 : 1,236.73 = 497.82 : x
  2. Step 2: Convert to fraction form
    896.14/1,236.73 = 497.82/x
  3. Step 3: Cross multiply
    896.14x = 1,236.73 × 497.82
  4. Step 4: Simplify right side
    896.14x = 615,668.93
  5. Step 5: Solve for x
    x = 615,668.93/896.14
  6. Step 6: Final answer
    x = 687.03

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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.