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Finding the Fourth Proportional to 789.58, 1,185.03 and 698.50

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Solution

The fourth proportional to 789.58, 1,185.03 and 698.50 is: 1,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.58 : 1,185.03 = 698.50 : x
  2. Step 2: Convert to fraction form
    789.58/1,185.03 = 698.50/x
  3. Step 3: Cross multiply
    789.58x = 1,185.03 × 698.50
  4. Step 4: Simplify right side
    789.58x = 827,743.46
  5. Step 5: Solve for x
    x = 827,743.46/789.58
  6. Step 6: Final answer
    x = 1,048.33

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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.