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Finding the Fourth Proportional to 896.29, 1,236.87 and 497.97

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Solution

The fourth proportional to 896.29, 1,236.87 and 497.97 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.29 : 1,236.87 = 497.97 : x
  2. Step 2: Convert to fraction form
    896.29/1,236.87 = 497.97/x
  3. Step 3: Cross multiply
    896.29x = 1,236.87 × 497.97
  4. Step 4: Simplify right side
    896.29x = 615,924.15
  5. Step 5: Solve for x
    x = 615,924.15/896.29
  6. Step 6: Final answer
    x = 687.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.