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Finding the Fourth Proportional to 1,232.78, 1,849.20 and 683.60

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Solution

The fourth proportional to 1,232.78, 1,849.20 and 683.60 is: 1,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,849.20 = 683.60 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,849.20 = 683.60/x
  3. Step 3: Cross multiply
    1,232.78x = 1,849.20 × 683.60
  4. Step 4: Simplify right side
    1,232.78x = 1,264,113.12
  5. Step 5: Solve for x
    x = 1,264,113.12/1,232.78
  6. Step 6: Final answer
    x = 1,025.42

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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.