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Finding the Fourth Proportional to 938.89, 1,294.23 and 739.35

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Solution

The fourth proportional to 938.89, 1,294.23 and 739.35 is: 1,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.89 : 1,294.23 = 739.35 : x
  2. Step 2: Convert to fraction form
    938.89/1,294.23 = 739.35/x
  3. Step 3: Cross multiply
    938.89x = 1,294.23 × 739.35
  4. Step 4: Simplify right side
    938.89x = 956,896.58
  5. Step 5: Solve for x
    x = 956,896.58/938.89
  6. Step 6: Final answer
    x = 1,019.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.