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Finding the Fourth Proportional to 790.91, 1,186.91 and 784.84

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Solution

The fourth proportional to 790.91, 1,186.91 and 784.84 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.91 : 1,186.91 = 784.84 : x
  2. Step 2: Convert to fraction form
    790.91/1,186.91 = 784.84/x
  3. Step 3: Cross multiply
    790.91x = 1,186.91 × 784.84
  4. Step 4: Simplify right side
    790.91x = 931,524.59
  5. Step 5: Solve for x
    x = 931,524.59/790.91
  6. Step 6: Final answer
    x = 1,177.79

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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.