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Finding the Fourth Proportional to 789.59, 1,184.07 and 241.58

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Solution

The fourth proportional to 789.59, 1,184.07 and 241.58 is: 362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.59 : 1,184.07 = 241.58 : x
  2. Step 2: Convert to fraction form
    789.59/1,184.07 = 241.58/x
  3. Step 3: Cross multiply
    789.59x = 1,184.07 × 241.58
  4. Step 4: Simplify right side
    789.59x = 286,047.63
  5. Step 5: Solve for x
    x = 286,047.63/789.59
  6. Step 6: Final answer
    x = 362.27

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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.