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Finding the Fourth Proportional to 790.84, 1,186.26 and 676.06

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Solution

The fourth proportional to 790.84, 1,186.26 and 676.06 is: 1,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,186.26 = 676.06 : x
  2. Step 2: Convert to fraction form
    790.84/1,186.26 = 676.06/x
  3. Step 3: Cross multiply
    790.84x = 1,186.26 × 676.06
  4. Step 4: Simplify right side
    790.84x = 801,982.94
  5. Step 5: Solve for x
    x = 801,982.94/790.84
  6. Step 6: Final answer
    x = 1,014.09

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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.