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Finding the Fourth Proportional to 790.74, 1,185.89 and 242.61

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Solution

The fourth proportional to 790.74, 1,185.89 and 242.61 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.74 : 1,185.89 = 242.61 : x
  2. Step 2: Convert to fraction form
    790.74/1,185.89 = 242.61/x
  3. Step 3: Cross multiply
    790.74x = 1,185.89 × 242.61
  4. Step 4: Simplify right side
    790.74x = 287,712.01
  5. Step 5: Solve for x
    x = 287,712.01/790.74
  6. Step 6: Final answer
    x = 363.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.