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Finding the Fourth Proportional to 1,330.82, 1,997.13 and 465.14

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Solution

The fourth proportional to 1,330.82, 1,997.13 and 465.14 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.82 : 1,997.13 = 465.14 : x
  2. Step 2: Convert to fraction form
    1,330.82/1,997.13 = 465.14/x
  3. Step 3: Cross multiply
    1,330.82x = 1,997.13 × 465.14
  4. Step 4: Simplify right side
    1,330.82x = 928,945.05
  5. Step 5: Solve for x
    x = 928,945.05/1,330.82
  6. Step 6: Final answer
    x = 698.02

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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.