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Finding the Fourth Proportional to 1,152.32, 1,728.56 and 361.57

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Solution

The fourth proportional to 1,152.32, 1,728.56 and 361.57 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.32 : 1,728.56 = 361.57 : x
  2. Step 2: Convert to fraction form
    1,152.32/1,728.56 = 361.57/x
  3. Step 3: Cross multiply
    1,152.32x = 1,728.56 × 361.57
  4. Step 4: Simplify right side
    1,152.32x = 624,995.44
  5. Step 5: Solve for x
    x = 624,995.44/1,152.32
  6. Step 6: Final answer
    x = 542.38

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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.