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Finding the Fourth Proportional to 896.85, 1,345.91 and 342.09

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Solution

The fourth proportional to 896.85, 1,345.91 and 342.09 is: 513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.85 : 1,345.91 = 342.09 : x
  2. Step 2: Convert to fraction form
    896.85/1,345.91 = 342.09/x
  3. Step 3: Cross multiply
    896.85x = 1,345.91 × 342.09
  4. Step 4: Simplify right side
    896.85x = 460,420.64
  5. Step 5: Solve for x
    x = 460,420.64/896.85
  6. Step 6: Final answer
    x = 513.38

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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.