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Finding the Fourth Proportional to 952.42, 1,427.44 and 541.90

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Solution

The fourth proportional to 952.42, 1,427.44 and 541.90 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.42 : 1,427.44 = 541.90 : x
  2. Step 2: Convert to fraction form
    952.42/1,427.44 = 541.90/x
  3. Step 3: Cross multiply
    952.42x = 1,427.44 × 541.90
  4. Step 4: Simplify right side
    952.42x = 773,529.74
  5. Step 5: Solve for x
    x = 773,529.74/952.42
  6. Step 6: Final answer
    x = 812.17

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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.