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Finding the Fourth Proportional to 760.77, 1,141.43 and 240.75

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Solution

The fourth proportional to 760.77, 1,141.43 and 240.75 is: 361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.77 : 1,141.43 = 240.75 : x
  2. Step 2: Convert to fraction form
    760.77/1,141.43 = 240.75/x
  3. Step 3: Cross multiply
    760.77x = 1,141.43 × 240.75
  4. Step 4: Simplify right side
    760.77x = 274,798.07
  5. Step 5: Solve for x
    x = 274,798.07/760.77
  6. Step 6: Final answer
    x = 361.21

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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.