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Finding the Fourth Proportional to 1,151.88, 1,727.07 and 421.39

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Solution

The fourth proportional to 1,151.88, 1,727.07 and 421.39 is: 631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.88 : 1,727.07 = 421.39 : x
  2. Step 2: Convert to fraction form
    1,151.88/1,727.07 = 421.39/x
  3. Step 3: Cross multiply
    1,151.88x = 1,727.07 × 421.39
  4. Step 4: Simplify right side
    1,151.88x = 727,770.03
  5. Step 5: Solve for x
    x = 727,770.03/1,151.88
  6. Step 6: Final answer
    x = 631.81

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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.