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Finding the Fourth Proportional to 896.85, 1,238.09 and 565.46

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Solution

The fourth proportional to 896.85, 1,238.09 and 565.46 is: 780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.85 : 1,238.09 = 565.46 : x
  2. Step 2: Convert to fraction form
    896.85/1,238.09 = 565.46/x
  3. Step 3: Cross multiply
    896.85x = 1,238.09 × 565.46
  4. Step 4: Simplify right side
    896.85x = 700,090.37
  5. Step 5: Solve for x
    x = 700,090.37/896.85
  6. Step 6: Final answer
    x = 780.61

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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.