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Finding the Fourth Proportional to 1,152.14, 1,728.18 and 382.64

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Solution

The fourth proportional to 1,152.14, 1,728.18 and 382.64 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.14 : 1,728.18 = 382.64 : x
  2. Step 2: Convert to fraction form
    1,152.14/1,728.18 = 382.64/x
  3. Step 3: Cross multiply
    1,152.14x = 1,728.18 × 382.64
  4. Step 4: Simplify right side
    1,152.14x = 661,270.80
  5. Step 5: Solve for x
    x = 661,270.80/1,152.14
  6. Step 6: Final answer
    x = 573.95

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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.