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Finding the Fourth Proportional to 1,203.45, 1,804.86 and 381.30

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Solution

The fourth proportional to 1,203.45, 1,804.86 and 381.30 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.45 : 1,804.86 = 381.30 : x
  2. Step 2: Convert to fraction form
    1,203.45/1,804.86 = 381.30/x
  3. Step 3: Cross multiply
    1,203.45x = 1,804.86 × 381.30
  4. Step 4: Simplify right side
    1,203.45x = 688,193.12
  5. Step 5: Solve for x
    x = 688,193.12/1,203.45
  6. Step 6: Final answer
    x = 571.85

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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.