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Finding the Fourth Proportional to 952.05, 1,313.85 and 578.97

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Solution

The fourth proportional to 952.05, 1,313.85 and 578.97 is: 798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.05 : 1,313.85 = 578.97 : x
  2. Step 2: Convert to fraction form
    952.05/1,313.85 = 578.97/x
  3. Step 3: Cross multiply
    952.05x = 1,313.85 × 578.97
  4. Step 4: Simplify right side
    952.05x = 760,679.73
  5. Step 5: Solve for x
    x = 760,679.73/952.05
  6. Step 6: Final answer
    x = 798.99

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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.