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Finding the Fourth Proportional to 1,289.08, 1,932.30 and 801.85

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Solution

The fourth proportional to 1,289.08, 1,932.30 and 801.85 is: 1,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.08 : 1,932.30 = 801.85 : x
  2. Step 2: Convert to fraction form
    1,289.08/1,932.30 = 801.85/x
  3. Step 3: Cross multiply
    1,289.08x = 1,932.30 × 801.85
  4. Step 4: Simplify right side
    1,289.08x = 1,549,414.76
  5. Step 5: Solve for x
    x = 1,549,414.76/1,289.08
  6. Step 6: Final answer
    x = 1,201.95

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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.