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Finding the Fourth Proportional to 896.45, 1,234.55 and 807.17

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Solution

The fourth proportional to 896.45, 1,234.55 and 807.17 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.45 : 1,234.55 = 807.17 : x
  2. Step 2: Convert to fraction form
    896.45/1,234.55 = 807.17/x
  3. Step 3: Cross multiply
    896.45x = 1,234.55 × 807.17
  4. Step 4: Simplify right side
    896.45x = 996,487.69
  5. Step 5: Solve for x
    x = 996,487.69/896.45
  6. Step 6: Final answer
    x = 1,111.59

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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.