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Finding the Fourth Proportional to 683.56, 944.22 and 596.08

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Solution

The fourth proportional to 683.56, 944.22 and 596.08 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.56 : 944.22 = 596.08 : x
  2. Step 2: Convert to fraction form
    683.56/944.22 = 596.08/x
  3. Step 3: Cross multiply
    683.56x = 944.22 × 596.08
  4. Step 4: Simplify right side
    683.56x = 562,830.66
  5. Step 5: Solve for x
    x = 562,830.66/683.56
  6. Step 6: Final answer
    x = 823.38

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Double scale
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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.