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Finding the Fourth Proportional to 1,151.34, 1,727.08 and 329.59

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Solution

The fourth proportional to 1,151.34, 1,727.08 and 329.59 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.34 : 1,727.08 = 329.59 : x
  2. Step 2: Convert to fraction form
    1,151.34/1,727.08 = 329.59/x
  3. Step 3: Cross multiply
    1,151.34x = 1,727.08 × 329.59
  4. Step 4: Simplify right side
    1,151.34x = 569,231.49
  5. Step 5: Solve for x
    x = 569,231.49/1,151.34
  6. Step 6: Final answer
    x = 494.41

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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.