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Finding the Fourth Proportional to 1,174.22, 1,761.44 and 308.53

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Solution

The fourth proportional to 1,174.22, 1,761.44 and 308.53 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.22 : 1,761.44 = 308.53 : x
  2. Step 2: Convert to fraction form
    1,174.22/1,761.44 = 308.53/x
  3. Step 3: Cross multiply
    1,174.22x = 1,761.44 × 308.53
  4. Step 4: Simplify right side
    1,174.22x = 543,457.74
  5. Step 5: Solve for x
    x = 543,457.74/1,174.22
  6. Step 6: Final answer
    x = 462.82

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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.