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Finding the Fourth Proportional to 1,202.14, 1,802.20 and 812.14

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Solution

The fourth proportional to 1,202.14, 1,802.20 and 812.14 is: 1,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.14 : 1,802.20 = 812.14 : x
  2. Step 2: Convert to fraction form
    1,202.14/1,802.20 = 812.14/x
  3. Step 3: Cross multiply
    1,202.14x = 1,802.20 × 812.14
  4. Step 4: Simplify right side
    1,202.14x = 1,463,638.71
  5. Step 5: Solve for x
    x = 1,463,638.71/1,202.14
  6. Step 6: Final answer
    x = 1,217.53

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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.