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Finding the Fourth Proportional to 1,202.86, 1,804.34 and 381.11

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Solution

The fourth proportional to 1,202.86, 1,804.34 and 381.11 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.86 : 1,804.34 = 381.11 : x
  2. Step 2: Convert to fraction form
    1,202.86/1,804.34 = 381.11/x
  3. Step 3: Cross multiply
    1,202.86x = 1,804.34 × 381.11
  4. Step 4: Simplify right side
    1,202.86x = 687,652.37
  5. Step 5: Solve for x
    x = 687,652.37/1,202.86
  6. Step 6: Final answer
    x = 571.68

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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.