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Finding the Fourth Proportional to 1,201.83, 1,803.24 and 616.54

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Solution

The fourth proportional to 1,201.83, 1,803.24 and 616.54 is: 925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.83 : 1,803.24 = 616.54 : x
  2. Step 2: Convert to fraction form
    1,201.83/1,803.24 = 616.54/x
  3. Step 3: Cross multiply
    1,201.83x = 1,803.24 × 616.54
  4. Step 4: Simplify right side
    1,201.83x = 1,111,768.43
  5. Step 5: Solve for x
    x = 1,111,768.43/1,201.83
  6. Step 6: Final answer
    x = 925.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.