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Finding the Fourth Proportional to 1,151.69, 1,727.27 and 329.77

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Solution

The fourth proportional to 1,151.69, 1,727.27 and 329.77 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.69 : 1,727.27 = 329.77 : x
  2. Step 2: Convert to fraction form
    1,151.69/1,727.27 = 329.77/x
  3. Step 3: Cross multiply
    1,151.69x = 1,727.27 × 329.77
  4. Step 4: Simplify right side
    1,151.69x = 569,601.83
  5. Step 5: Solve for x
    x = 569,601.83/1,151.69
  6. Step 6: Final answer
    x = 494.58

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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.