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Finding the Fourth Proportional to 1,101.14, 1,651.43 and 320.93

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Solution

The fourth proportional to 1,101.14, 1,651.43 and 320.93 is: 481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.14 : 1,651.43 = 320.93 : x
  2. Step 2: Convert to fraction form
    1,101.14/1,651.43 = 320.93/x
  3. Step 3: Cross multiply
    1,101.14x = 1,651.43 × 320.93
  4. Step 4: Simplify right side
    1,101.14x = 529,998.36
  5. Step 5: Solve for x
    x = 529,998.36/1,101.14
  6. Step 6: Final answer
    x = 481.32

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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.