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Finding the Fourth Proportional to 790.79, 1,186.11 and 243

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Solution

The fourth proportional to 790.79, 1,186.11 and 243 is: 364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.79 : 1,186.11 = 243 : x
  2. Step 2: Convert to fraction form
    790.79/1,186.11 = 243/x
  3. Step 3: Cross multiply
    790.79x = 1,186.11 × 243
  4. Step 4: Simplify right side
    790.79x = 288,224.73
  5. Step 5: Solve for x
    x = 288,224.73/790.79
  6. Step 6: Final answer
    x = 364.48

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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.