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Finding the Fourth Proportional to 1,174.51, 1,761.78 and 308.75

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Solution

The fourth proportional to 1,174.51, 1,761.78 and 308.75 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.51 : 1,761.78 = 308.75 : x
  2. Step 2: Convert to fraction form
    1,174.51/1,761.78 = 308.75/x
  3. Step 3: Cross multiply
    1,174.51x = 1,761.78 × 308.75
  4. Step 4: Simplify right side
    1,174.51x = 543,949.58
  5. Step 5: Solve for x
    x = 543,949.58/1,174.51
  6. Step 6: Final answer
    x = 463.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.