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Finding the Fourth Proportional to 1,269.38, 1,904.06 and 344.86

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Solution

The fourth proportional to 1,269.38, 1,904.06 and 344.86 is: 517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.38 : 1,904.06 = 344.86 : x
  2. Step 2: Convert to fraction form
    1,269.38/1,904.06 = 344.86/x
  3. Step 3: Cross multiply
    1,269.38x = 1,904.06 × 344.86
  4. Step 4: Simplify right side
    1,269.38x = 656,634.13
  5. Step 5: Solve for x
    x = 656,634.13/1,269.38
  6. Step 6: Final answer
    x = 517.29

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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.