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Finding the Fourth Proportional to 1,379.43, 2,069.19 and 502.11

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Solution

The fourth proportional to 1,379.43, 2,069.19 and 502.11 is: 753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.43 : 2,069.19 = 502.11 : x
  2. Step 2: Convert to fraction form
    1,379.43/2,069.19 = 502.11/x
  3. Step 3: Cross multiply
    1,379.43x = 2,069.19 × 502.11
  4. Step 4: Simplify right side
    1,379.43x = 1,038,960.99
  5. Step 5: Solve for x
    x = 1,038,960.99/1,379.43
  6. Step 6: Final answer
    x = 753.18

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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.