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Finding the Fourth Proportional to 952.15, 1,314.30 and 559.48

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Solution

The fourth proportional to 952.15, 1,314.30 and 559.48 is: 772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.15 : 1,314.30 = 559.48 : x
  2. Step 2: Convert to fraction form
    952.15/1,314.30 = 559.48/x
  3. Step 3: Cross multiply
    952.15x = 1,314.30 × 559.48
  4. Step 4: Simplify right side
    952.15x = 735,324.56
  5. Step 5: Solve for x
    x = 735,324.56/952.15
  6. Step 6: Final answer
    x = 772.28

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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.