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Finding the Fourth Proportional to 1,152.74, 1,728.84 and 422.12

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Solution

The fourth proportional to 1,152.74, 1,728.84 and 422.12 is: 633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.74 : 1,728.84 = 422.12 : x
  2. Step 2: Convert to fraction form
    1,152.74/1,728.84 = 422.12/x
  3. Step 3: Cross multiply
    1,152.74x = 1,728.84 × 422.12
  4. Step 4: Simplify right side
    1,152.74x = 729,777.94
  5. Step 5: Solve for x
    x = 729,777.94/1,152.74
  6. Step 6: Final answer
    x = 633.08

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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.