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Finding the Fourth Proportional to 890.75, 1,337.94 and 684.60

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Solution

The fourth proportional to 890.75, 1,337.94 and 684.60 is: 1,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.75 : 1,337.94 = 684.60 : x
  2. Step 2: Convert to fraction form
    890.75/1,337.94 = 684.60/x
  3. Step 3: Cross multiply
    890.75x = 1,337.94 × 684.60
  4. Step 4: Simplify right side
    890.75x = 915,953.72
  5. Step 5: Solve for x
    x = 915,953.72/890.75
  6. Step 6: Final answer
    x = 1,028.30

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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.