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Finding the Fourth Proportional to 683.56, 944.16 and 506.86

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Solution

The fourth proportional to 683.56, 944.16 and 506.86 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.56 : 944.16 = 506.86 : x
  2. Step 2: Convert to fraction form
    683.56/944.16 = 506.86/x
  3. Step 3: Cross multiply
    683.56x = 944.16 × 506.86
  4. Step 4: Simplify right side
    683.56x = 478,556.94
  5. Step 5: Solve for x
    x = 478,556.94/683.56
  6. Step 6: Final answer
    x = 700.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.