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Finding the Fourth Proportional to 1,329.68, 1,995.57 and 921.69

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Solution

The fourth proportional to 1,329.68, 1,995.57 and 921.69 is: 1,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.68 : 1,995.57 = 921.69 : x
  2. Step 2: Convert to fraction form
    1,329.68/1,995.57 = 921.69/x
  3. Step 3: Cross multiply
    1,329.68x = 1,995.57 × 921.69
  4. Step 4: Simplify right side
    1,329.68x = 1,839,296.91
  5. Step 5: Solve for x
    x = 1,839,296.91/1,329.68
  6. Step 6: Final answer
    x = 1,383.26

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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.