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Finding the Fourth Proportional to 1,359.14, 2,038.45 and 536.59

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Solution

The fourth proportional to 1,359.14, 2,038.45 and 536.59 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.14 : 2,038.45 = 536.59 : x
  2. Step 2: Convert to fraction form
    1,359.14/2,038.45 = 536.59/x
  3. Step 3: Cross multiply
    1,359.14x = 2,038.45 × 536.59
  4. Step 4: Simplify right side
    1,359.14x = 1,093,811.89
  5. Step 5: Solve for x
    x = 1,093,811.89/1,359.14
  6. Step 6: Final answer
    x = 804.78

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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.