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Finding the Fourth Proportional to 683.85, 1,025.93 and 245.13

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Solution

The fourth proportional to 683.85, 1,025.93 and 245.13 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.85 : 1,025.93 = 245.13 : x
  2. Step 2: Convert to fraction form
    683.85/1,025.93 = 245.13/x
  3. Step 3: Cross multiply
    683.85x = 1,025.93 × 245.13
  4. Step 4: Simplify right side
    683.85x = 251,486.22
  5. Step 5: Solve for x
    x = 251,486.22/683.85
  6. Step 6: Final answer
    x = 367.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.