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Finding the Fourth Proportional to 767.94, 1,152.05 and 281.34

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Solution

The fourth proportional to 767.94, 1,152.05 and 281.34 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.94 : 1,152.05 = 281.34 : x
  2. Step 2: Convert to fraction form
    767.94/1,152.05 = 281.34/x
  3. Step 3: Cross multiply
    767.94x = 1,152.05 × 281.34
  4. Step 4: Simplify right side
    767.94x = 324,117.75
  5. Step 5: Solve for x
    x = 324,117.75/767.94
  6. Step 6: Final answer
    x = 422.06

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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.