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Finding the Fourth Proportional to 683.69, 943.92 and 473.79

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Solution

The fourth proportional to 683.69, 943.92 and 473.79 is: 654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.69 : 943.92 = 473.79 : x
  2. Step 2: Convert to fraction form
    683.69/943.92 = 473.79/x
  3. Step 3: Cross multiply
    683.69x = 943.92 × 473.79
  4. Step 4: Simplify right side
    683.69x = 447,214.54
  5. Step 5: Solve for x
    x = 447,214.54/683.69
  6. Step 6: Final answer
    x = 654.12

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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.