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Finding the Fourth Proportional to 1,370.13, 2,055.19 and 344.13

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Solution

The fourth proportional to 1,370.13, 2,055.19 and 344.13 is: 516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.13 : 2,055.19 = 344.13 : x
  2. Step 2: Convert to fraction form
    1,370.13/2,055.19 = 344.13/x
  3. Step 3: Cross multiply
    1,370.13x = 2,055.19 × 344.13
  4. Step 4: Simplify right side
    1,370.13x = 707,252.53
  5. Step 5: Solve for x
    x = 707,252.53/1,370.13
  6. Step 6: Final answer
    x = 516.19

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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.