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Finding the Fourth Proportional to 896.54, 1,345.31 and 409.58

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Solution

The fourth proportional to 896.54, 1,345.31 and 409.58 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.54 : 1,345.31 = 409.58 : x
  2. Step 2: Convert to fraction form
    896.54/1,345.31 = 409.58/x
  3. Step 3: Cross multiply
    896.54x = 1,345.31 × 409.58
  4. Step 4: Simplify right side
    896.54x = 551,003.30
  5. Step 5: Solve for x
    x = 551,003.30/896.54
  6. Step 6: Final answer
    x = 614.59

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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.