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Finding the Fourth Proportional to 1,152.24, 1,728.62 and 421.81

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Solution

The fourth proportional to 1,152.24, 1,728.62 and 421.81 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.24 : 1,728.62 = 421.81 : x
  2. Step 2: Convert to fraction form
    1,152.24/1,728.62 = 421.81/x
  3. Step 3: Cross multiply
    1,152.24x = 1,728.62 × 421.81
  4. Step 4: Simplify right side
    1,152.24x = 729,149.20
  5. Step 5: Solve for x
    x = 729,149.20/1,152.24
  6. Step 6: Final answer
    x = 632.81

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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.