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Finding the Fourth Proportional to 846.78, 1,269.36 and 269.26

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Solution

The fourth proportional to 846.78, 1,269.36 and 269.26 is: 403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.78 : 1,269.36 = 269.26 : x
  2. Step 2: Convert to fraction form
    846.78/1,269.36 = 269.26/x
  3. Step 3: Cross multiply
    846.78x = 1,269.36 × 269.26
  4. Step 4: Simplify right side
    846.78x = 341,787.87
  5. Step 5: Solve for x
    x = 341,787.87/846.78
  6. Step 6: Final answer
    x = 403.63

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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.