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Finding the Fourth Proportional to 767.94, 1,152.12 and 382.92

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Solution

The fourth proportional to 767.94, 1,152.12 and 382.92 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.94 : 1,152.12 = 382.92 : x
  2. Step 2: Convert to fraction form
    767.94/1,152.12 = 382.92/x
  3. Step 3: Cross multiply
    767.94x = 1,152.12 × 382.92
  4. Step 4: Simplify right side
    767.94x = 441,169.79
  5. Step 5: Solve for x
    x = 441,169.79/767.94
  6. Step 6: Final answer
    x = 574.48

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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.