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Finding the Fourth Proportional to 789.66, 1,184.49 and 302.73

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Solution

The fourth proportional to 789.66, 1,184.49 and 302.73 is: 454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,184.49 = 302.73 : x
  2. Step 2: Convert to fraction form
    789.66/1,184.49 = 302.73/x
  3. Step 3: Cross multiply
    789.66x = 1,184.49 × 302.73
  4. Step 4: Simplify right side
    789.66x = 358,580.66
  5. Step 5: Solve for x
    x = 358,580.66/789.66
  6. Step 6: Final answer
    x = 454.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.