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Finding the Fourth Proportional to 1,202.48, 1,804.10 and 682.04

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Solution

The fourth proportional to 1,202.48, 1,804.10 and 682.04 is: 1,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.48 : 1,804.10 = 682.04 : x
  2. Step 2: Convert to fraction form
    1,202.48/1,804.10 = 682.04/x
  3. Step 3: Cross multiply
    1,202.48x = 1,804.10 × 682.04
  4. Step 4: Simplify right side
    1,202.48x = 1,230,468.36
  5. Step 5: Solve for x
    x = 1,230,468.36/1,202.48
  6. Step 6: Final answer
    x = 1,023.28

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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.