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Finding the Fourth Proportional to 952.30, 1,334.30 and 952.30

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Solution

The fourth proportional to 952.30, 1,334.30 and 952.30 is: 1,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.30 : 1,334.30 = 952.30 : x
  2. Step 2: Convert to fraction form
    952.30/1,334.30 = 952.30/x
  3. Step 3: Cross multiply
    952.30x = 1,334.30 × 952.30
  4. Step 4: Simplify right side
    952.30x = 1,270,653.89
  5. Step 5: Solve for x
    x = 1,270,653.89/952.30
  6. Step 6: Final answer
    x = 1,334.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.