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Finding the Fourth Proportional to 761.84, 1,142.96 and 241.86

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Solution

The fourth proportional to 761.84, 1,142.96 and 241.86 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,142.96 = 241.86 : x
  2. Step 2: Convert to fraction form
    761.84/1,142.96 = 241.86/x
  3. Step 3: Cross multiply
    761.84x = 1,142.96 × 241.86
  4. Step 4: Simplify right side
    761.84x = 276,436.31
  5. Step 5: Solve for x
    x = 276,436.31/761.84
  6. Step 6: Final answer
    x = 362.85

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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.