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Finding the Fourth Proportional to 952.23, 1,427.63 and 519.15

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Solution

The fourth proportional to 952.23, 1,427.63 and 519.15 is: 778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.23 : 1,427.63 = 519.15 : x
  2. Step 2: Convert to fraction form
    952.23/1,427.63 = 519.15/x
  3. Step 3: Cross multiply
    952.23x = 1,427.63 × 519.15
  4. Step 4: Simplify right side
    952.23x = 741,151.52
  5. Step 5: Solve for x
    x = 741,151.52/952.23
  6. Step 6: Final answer
    x = 778.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.