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Finding the Fourth Proportional to 952.09, 1,313.43 and 620.62

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Solution

The fourth proportional to 952.09, 1,313.43 and 620.62 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.09 : 1,313.43 = 620.62 : x
  2. Step 2: Convert to fraction form
    952.09/1,313.43 = 620.62/x
  3. Step 3: Cross multiply
    952.09x = 1,313.43 × 620.62
  4. Step 4: Simplify right side
    952.09x = 815,140.93
  5. Step 5: Solve for x
    x = 815,140.93/952.09
  6. Step 6: Final answer
    x = 856.16

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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.