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Finding the Fourth Proportional to 789.78, 1,184.72 and 327.76

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Solution

The fourth proportional to 789.78, 1,184.72 and 327.76 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,184.72 = 327.76 : x
  2. Step 2: Convert to fraction form
    789.78/1,184.72 = 327.76/x
  3. Step 3: Cross multiply
    789.78x = 1,184.72 × 327.76
  4. Step 4: Simplify right side
    789.78x = 388,303.83
  5. Step 5: Solve for x
    x = 388,303.83/789.78
  6. Step 6: Final answer
    x = 491.66

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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.