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Finding the Fourth Proportional to 1,151.26, 1,726.65 and 329.31

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Solution

The fourth proportional to 1,151.26, 1,726.65 and 329.31 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.26 : 1,726.65 = 329.31 : x
  2. Step 2: Convert to fraction form
    1,151.26/1,726.65 = 329.31/x
  3. Step 3: Cross multiply
    1,151.26x = 1,726.65 × 329.31
  4. Step 4: Simplify right side
    1,151.26x = 568,603.11
  5. Step 5: Solve for x
    x = 568,603.11/1,151.26
  6. Step 6: Final answer
    x = 493.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.