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Finding the Fourth Proportional to 1,293.38, 1,939.76 and 460.36

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Solution

The fourth proportional to 1,293.38, 1,939.76 and 460.36 is: 690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.38 : 1,939.76 = 460.36 : x
  2. Step 2: Convert to fraction form
    1,293.38/1,939.76 = 460.36/x
  3. Step 3: Cross multiply
    1,293.38x = 1,939.76 × 460.36
  4. Step 4: Simplify right side
    1,293.38x = 892,987.91
  5. Step 5: Solve for x
    x = 892,987.91/1,293.38
  6. Step 6: Final answer
    x = 690.43

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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.