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Finding the Fourth Proportional to 1,359.06, 2,037.78 and 536.72

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Solution

The fourth proportional to 1,359.06, 2,037.78 and 536.72 is: 804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.06 : 2,037.78 = 536.72 : x
  2. Step 2: Convert to fraction form
    1,359.06/2,037.78 = 536.72/x
  3. Step 3: Cross multiply
    1,359.06x = 2,037.78 × 536.72
  4. Step 4: Simplify right side
    1,359.06x = 1,093,707.09
  5. Step 5: Solve for x
    x = 1,093,707.09/1,359.06
  6. Step 6: Final answer
    x = 804.75

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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.