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Finding the Fourth Proportional to 1,393.26, 2,090.82 and 623.76

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Solution

The fourth proportional to 1,393.26, 2,090.82 and 623.76 is: 936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.26 : 2,090.82 = 623.76 : x
  2. Step 2: Convert to fraction form
    1,393.26/2,090.82 = 623.76/x
  3. Step 3: Cross multiply
    1,393.26x = 2,090.82 × 623.76
  4. Step 4: Simplify right side
    1,393.26x = 1,304,169.88
  5. Step 5: Solve for x
    x = 1,304,169.88/1,393.26
  6. Step 6: Final answer
    x = 936.06

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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.