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Finding the Fourth Proportional to 789.95, 1,184.97 and 303.04

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Solution

The fourth proportional to 789.95, 1,184.97 and 303.04 is: 454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.95 : 1,184.97 = 303.04 : x
  2. Step 2: Convert to fraction form
    789.95/1,184.97 = 303.04/x
  3. Step 3: Cross multiply
    789.95x = 1,184.97 × 303.04
  4. Step 4: Simplify right side
    789.95x = 359,093.31
  5. Step 5: Solve for x
    x = 359,093.31/789.95
  6. Step 6: Final answer
    x = 454.58

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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.