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Finding the Fourth Proportional to 937.86, 1,294.44 and 623.14

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Solution

The fourth proportional to 937.86, 1,294.44 and 623.14 is: 860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.86 : 1,294.44 = 623.14 : x
  2. Step 2: Convert to fraction form
    937.86/1,294.44 = 623.14/x
  3. Step 3: Cross multiply
    937.86x = 1,294.44 × 623.14
  4. Step 4: Simplify right side
    937.86x = 806,617.34
  5. Step 5: Solve for x
    x = 806,617.34/937.86
  6. Step 6: Final answer
    x = 860.06

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