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Finding the Fourth Proportional to 1,202.82, 1,804.14 and 423.42

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Solution

The fourth proportional to 1,202.82, 1,804.14 and 423.42 is: 635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,804.14 = 423.42 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,804.14 = 423.42/x
  3. Step 3: Cross multiply
    1,202.82x = 1,804.14 × 423.42
  4. Step 4: Simplify right side
    1,202.82x = 763,908.96
  5. Step 5: Solve for x
    x = 763,908.96/1,202.82
  6. Step 6: Final answer
    x = 635.10

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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.