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Finding the Fourth Proportional to 1,202.11, 1,802.98 and 380.58

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Solution

The fourth proportional to 1,202.11, 1,802.98 and 380.58 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.11 : 1,802.98 = 380.58 : x
  2. Step 2: Convert to fraction form
    1,202.11/1,802.98 = 380.58/x
  3. Step 3: Cross multiply
    1,202.11x = 1,802.98 × 380.58
  4. Step 4: Simplify right side
    1,202.11x = 686,172.24
  5. Step 5: Solve for x
    x = 686,172.24/1,202.11
  6. Step 6: Final answer
    x = 570.81

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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.