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Finding the Fourth Proportional to 790.45, 1,185.84 and 242.61

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Solution

The fourth proportional to 790.45, 1,185.84 and 242.61 is: 363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.45 : 1,185.84 = 242.61 : x
  2. Step 2: Convert to fraction form
    790.45/1,185.84 = 242.61/x
  3. Step 3: Cross multiply
    790.45x = 1,185.84 × 242.61
  4. Step 4: Simplify right side
    790.45x = 287,698.87
  5. Step 5: Solve for x
    x = 287,698.87/790.45
  6. Step 6: Final answer
    x = 363.97

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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.