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Finding the Fourth Proportional to 1,203.14, 1,804.44 and 553.24

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Solution

The fourth proportional to 1,203.14, 1,804.44 and 553.24 is: 829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.14 : 1,804.44 = 553.24 : x
  2. Step 2: Convert to fraction form
    1,203.14/1,804.44 = 553.24/x
  3. Step 3: Cross multiply
    1,203.14x = 1,804.44 × 553.24
  4. Step 4: Simplify right side
    1,203.14x = 998,288.39
  5. Step 5: Solve for x
    x = 998,288.39/1,203.14
  6. Step 6: Final answer
    x = 829.74

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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.