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Finding the Fourth Proportional to 683.44, 1,019.93 and 610.48

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Solution

The fourth proportional to 683.44, 1,019.93 and 610.48 is: 911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.44 : 1,019.93 = 610.48 : x
  2. Step 2: Convert to fraction form
    683.44/1,019.93 = 610.48/x
  3. Step 3: Cross multiply
    683.44x = 1,019.93 × 610.48
  4. Step 4: Simplify right side
    683.44x = 622,646.87
  5. Step 5: Solve for x
    x = 622,646.87/683.44
  6. Step 6: Final answer
    x = 911.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.