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Finding the Fourth Proportional to 1,202.29, 1,803.63 and 380.57

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Solution

The fourth proportional to 1,202.29, 1,803.63 and 380.57 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.29 : 1,803.63 = 380.57 : x
  2. Step 2: Convert to fraction form
    1,202.29/1,803.63 = 380.57/x
  3. Step 3: Cross multiply
    1,202.29x = 1,803.63 × 380.57
  4. Step 4: Simplify right side
    1,202.29x = 686,399.88
  5. Step 5: Solve for x
    x = 686,399.88/1,202.29
  6. Step 6: Final answer
    x = 570.91

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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.