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Finding the Fourth Proportional to 896.83, 1,345.25 and 409.31

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Solution

The fourth proportional to 896.83, 1,345.25 and 409.31 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.83 : 1,345.25 = 409.31 : x
  2. Step 2: Convert to fraction form
    896.83/1,345.25 = 409.31/x
  3. Step 3: Cross multiply
    896.83x = 1,345.25 × 409.31
  4. Step 4: Simplify right side
    896.83x = 550,625.59
  5. Step 5: Solve for x
    x = 550,625.59/896.83
  6. Step 6: Final answer
    x = 613.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.