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Finding the Fourth Proportional to 789.70, 1,184.82 and 713.02

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Solution

The fourth proportional to 789.70, 1,184.82 and 713.02 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.70 : 1,184.82 = 713.02 : x
  2. Step 2: Convert to fraction form
    789.70/1,184.82 = 713.02/x
  3. Step 3: Cross multiply
    789.70x = 1,184.82 × 713.02
  4. Step 4: Simplify right side
    789.70x = 844,800.36
  5. Step 5: Solve for x
    x = 844,800.36/789.70
  6. Step 6: Final answer
    x = 1,069.77

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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.