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Finding the Fourth Proportional to 767.98, 1,152.12 and 305.57

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Solution

The fourth proportional to 767.98, 1,152.12 and 305.57 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.98 : 1,152.12 = 305.57 : x
  2. Step 2: Convert to fraction form
    767.98/1,152.12 = 305.57/x
  3. Step 3: Cross multiply
    767.98x = 1,152.12 × 305.57
  4. Step 4: Simplify right side
    767.98x = 352,057.33
  5. Step 5: Solve for x
    x = 352,057.33/767.98
  6. Step 6: Final answer
    x = 458.42

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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.