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Finding the Fourth Proportional to 1,359.11, 2,037.27 and 537.05

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Solution

The fourth proportional to 1,359.11, 2,037.27 and 537.05 is: 805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.11 : 2,037.27 = 537.05 : x
  2. Step 2: Convert to fraction form
    1,359.11/2,037.27 = 537.05/x
  3. Step 3: Cross multiply
    1,359.11x = 2,037.27 × 537.05
  4. Step 4: Simplify right side
    1,359.11x = 1,094,115.85
  5. Step 5: Solve for x
    x = 1,094,115.85/1,359.11
  6. Step 6: Final answer
    x = 805.02

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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.