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Finding the Fourth Proportional to 938.59, 1,285.87 and 903.55

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Solution

The fourth proportional to 938.59, 1,285.87 and 903.55 is: 1,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.59 : 1,285.87 = 903.55 : x
  2. Step 2: Convert to fraction form
    938.59/1,285.87 = 903.55/x
  3. Step 3: Cross multiply
    938.59x = 1,285.87 × 903.55
  4. Step 4: Simplify right side
    938.59x = 1,161,847.84
  5. Step 5: Solve for x
    x = 1,161,847.84/938.59
  6. Step 6: Final answer
    x = 1,237.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.