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Finding the Fourth Proportional to 1,203.66, 1,804.77 and 682.83

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Solution

The fourth proportional to 1,203.66, 1,804.77 and 682.83 is: 1,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.66 : 1,804.77 = 682.83 : x
  2. Step 2: Convert to fraction form
    1,203.66/1,804.77 = 682.83/x
  3. Step 3: Cross multiply
    1,203.66x = 1,804.77 × 682.83
  4. Step 4: Simplify right side
    1,203.66x = 1,232,351.10
  5. Step 5: Solve for x
    x = 1,232,351.10/1,203.66
  6. Step 6: Final answer
    x = 1,023.84

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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.