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Finding the Fourth Proportional to 789.06, 1,182.67 and 697.93

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Solution

The fourth proportional to 789.06, 1,182.67 and 697.93 is: 1,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,182.67 = 697.93 : x
  2. Step 2: Convert to fraction form
    789.06/1,182.67 = 697.93/x
  3. Step 3: Cross multiply
    789.06x = 1,182.67 × 697.93
  4. Step 4: Simplify right side
    789.06x = 825,420.87
  5. Step 5: Solve for x
    x = 825,420.87/789.06
  6. Step 6: Final answer
    x = 1,046.08

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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.