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Finding the Fourth Proportional to 1,152.14, 1,727.96 and 330.23

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Solution

The fourth proportional to 1,152.14, 1,727.96 and 330.23 is: 495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.14 : 1,727.96 = 330.23 : x
  2. Step 2: Convert to fraction form
    1,152.14/1,727.96 = 330.23/x
  3. Step 3: Cross multiply
    1,152.14x = 1,727.96 × 330.23
  4. Step 4: Simplify right side
    1,152.14x = 570,622.58
  5. Step 5: Solve for x
    x = 570,622.58/1,152.14
  6. Step 6: Final answer
    x = 495.27

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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.