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Finding the Fourth Proportional to 683.85, 1,025.58 and 190.13

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Solution

The fourth proportional to 683.85, 1,025.58 and 190.13 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.85 : 1,025.58 = 190.13 : x
  2. Step 2: Convert to fraction form
    683.85/1,025.58 = 190.13/x
  3. Step 3: Cross multiply
    683.85x = 1,025.58 × 190.13
  4. Step 4: Simplify right side
    683.85x = 194,988.40
  5. Step 5: Solve for x
    x = 194,988.40/683.85
  6. Step 6: Final answer
    x = 285.13

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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.