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Finding the Fourth Proportional to 789.63, 1,184.57 and 241.74

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Solution

The fourth proportional to 789.63, 1,184.57 and 241.74 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,184.57 = 241.74 : x
  2. Step 2: Convert to fraction form
    789.63/1,184.57 = 241.74/x
  3. Step 3: Cross multiply
    789.63x = 1,184.57 × 241.74
  4. Step 4: Simplify right side
    789.63x = 286,356.74
  5. Step 5: Solve for x
    x = 286,356.74/789.63
  6. Step 6: Final answer
    x = 362.65

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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.