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Finding the Fourth Proportional to 894.63, 1,342.13 and 269.94

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Solution

The fourth proportional to 894.63, 1,342.13 and 269.94 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.63 : 1,342.13 = 269.94 : x
  2. Step 2: Convert to fraction form
    894.63/1,342.13 = 269.94/x
  3. Step 3: Cross multiply
    894.63x = 1,342.13 × 269.94
  4. Step 4: Simplify right side
    894.63x = 362,295.25
  5. Step 5: Solve for x
    x = 362,295.25/894.63
  6. Step 6: Final answer
    x = 404.97

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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.