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Finding the Fourth Proportional to 942.04, 1,299.78 and 548.92

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Solution

The fourth proportional to 942.04, 1,299.78 and 548.92 is: 757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.04 : 1,299.78 = 548.92 : x
  2. Step 2: Convert to fraction form
    942.04/1,299.78 = 548.92/x
  3. Step 3: Cross multiply
    942.04x = 1,299.78 × 548.92
  4. Step 4: Simplify right side
    942.04x = 713,475.24
  5. Step 5: Solve for x
    x = 713,475.24/942.04
  6. Step 6: Final answer
    x = 757.37

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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.