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Finding the Fourth Proportional to 760.82, 1,141.44 and 240.85

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Solution

The fourth proportional to 760.82, 1,141.44 and 240.85 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.82 : 1,141.44 = 240.85 : x
  2. Step 2: Convert to fraction form
    760.82/1,141.44 = 240.85/x
  3. Step 3: Cross multiply
    760.82x = 1,141.44 × 240.85
  4. Step 4: Simplify right side
    760.82x = 274,914.49
  5. Step 5: Solve for x
    x = 274,914.49/760.82
  6. Step 6: Final answer
    x = 361.34

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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.