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Finding the Fourth Proportional to 1,151.88, 1,727.88 and 330.12

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Solution

The fourth proportional to 1,151.88, 1,727.88 and 330.12 is: 495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.88 : 1,727.88 = 330.12 : x
  2. Step 2: Convert to fraction form
    1,151.88/1,727.88 = 330.12/x
  3. Step 3: Cross multiply
    1,151.88x = 1,727.88 × 330.12
  4. Step 4: Simplify right side
    1,151.88x = 570,407.75
  5. Step 5: Solve for x
    x = 570,407.75/1,151.88
  6. Step 6: Final answer
    x = 495.20

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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.