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Finding the Fourth Proportional to 683.54, 1,025.32 and 409.50

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Solution

The fourth proportional to 683.54, 1,025.32 and 409.50 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 1,025.32 = 409.50 : x
  2. Step 2: Convert to fraction form
    683.54/1,025.32 = 409.50/x
  3. Step 3: Cross multiply
    683.54x = 1,025.32 × 409.50
  4. Step 4: Simplify right side
    683.54x = 419,868.54
  5. Step 5: Solve for x
    x = 419,868.54/683.54
  6. Step 6: Final answer
    x = 614.26

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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.