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Finding the Fourth Proportional to 1,329.68, 1,995.55 and 921.67

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Solution

The fourth proportional to 1,329.68, 1,995.55 and 921.67 is: 1,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.68 : 1,995.55 = 921.67 : x
  2. Step 2: Convert to fraction form
    1,329.68/1,995.55 = 921.67/x
  3. Step 3: Cross multiply
    1,329.68x = 1,995.55 × 921.67
  4. Step 4: Simplify right side
    1,329.68x = 1,839,231.28
  5. Step 5: Solve for x
    x = 1,839,231.28/1,329.68
  6. Step 6: Final answer
    x = 1,383.21

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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.