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Finding the Fourth Proportional to 952.31, 1,427.40 and 720.45

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Solution

The fourth proportional to 952.31, 1,427.40 and 720.45 is: 1,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.31 : 1,427.40 = 720.45 : x
  2. Step 2: Convert to fraction form
    952.31/1,427.40 = 720.45/x
  3. Step 3: Cross multiply
    952.31x = 1,427.40 × 720.45
  4. Step 4: Simplify right side
    952.31x = 1,028,370.33
  5. Step 5: Solve for x
    x = 1,028,370.33/952.31
  6. Step 6: Final answer
    x = 1,079.87

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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.