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Finding the Fourth Proportional to 896.91, 1,345.29 and 409.92

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Solution

The fourth proportional to 896.91, 1,345.29 and 409.92 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.91 : 1,345.29 = 409.92 : x
  2. Step 2: Convert to fraction form
    896.91/1,345.29 = 409.92/x
  3. Step 3: Cross multiply
    896.91x = 1,345.29 × 409.92
  4. Step 4: Simplify right side
    896.91x = 551,461.28
  5. Step 5: Solve for x
    x = 551,461.28/896.91
  6. Step 6: Final answer
    x = 614.85

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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.