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Finding the Fourth Proportional to 1,202.53, 1,803.81 and 380.88

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Solution

The fourth proportional to 1,202.53, 1,803.81 and 380.88 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.53 : 1,803.81 = 380.88 : x
  2. Step 2: Convert to fraction form
    1,202.53/1,803.81 = 380.88/x
  3. Step 3: Cross multiply
    1,202.53x = 1,803.81 × 380.88
  4. Step 4: Simplify right side
    1,202.53x = 687,035.15
  5. Step 5: Solve for x
    x = 687,035.15/1,202.53
  6. Step 6: Final answer
    x = 571.32

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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.