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Finding the Fourth Proportional to 1,347.11, 2,020.74 and 359.90

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Solution

The fourth proportional to 1,347.11, 2,020.74 and 359.90 is: 539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.11 : 2,020.74 = 359.90 : x
  2. Step 2: Convert to fraction form
    1,347.11/2,020.74 = 359.90/x
  3. Step 3: Cross multiply
    1,347.11x = 2,020.74 × 359.90
  4. Step 4: Simplify right side
    1,347.11x = 727,252.42
  5. Step 5: Solve for x
    x = 727,252.42/1,347.11
  6. Step 6: Final answer
    x = 539.86

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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.