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Finding the Fourth Proportional to 1,151.13, 1,726.53 and 329.47

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Solution

The fourth proportional to 1,151.13, 1,726.53 and 329.47 is: 494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.13 : 1,726.53 = 329.47 : x
  2. Step 2: Convert to fraction form
    1,151.13/1,726.53 = 329.47/x
  3. Step 3: Cross multiply
    1,151.13x = 1,726.53 × 329.47
  4. Step 4: Simplify right side
    1,151.13x = 568,839.84
  5. Step 5: Solve for x
    x = 568,839.84/1,151.13
  6. Step 6: Final answer
    x = 494.16

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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.