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Finding the Fourth Proportional to 1,202.84, 1,804.36 and 381.19

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Solution

The fourth proportional to 1,202.84, 1,804.36 and 381.19 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.84 : 1,804.36 = 381.19 : x
  2. Step 2: Convert to fraction form
    1,202.84/1,804.36 = 381.19/x
  3. Step 3: Cross multiply
    1,202.84x = 1,804.36 × 381.19
  4. Step 4: Simplify right side
    1,202.84x = 687,803.99
  5. Step 5: Solve for x
    x = 687,803.99/1,202.84
  6. Step 6: Final answer
    x = 571.82

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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.