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Finding the Fourth Proportional to 942.30, 1,299.92 and 611.01

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Solution

The fourth proportional to 942.30, 1,299.92 and 611.01 is: 842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.30 : 1,299.92 = 611.01 : x
  2. Step 2: Convert to fraction form
    942.30/1,299.92 = 611.01/x
  3. Step 3: Cross multiply
    942.30x = 1,299.92 × 611.01
  4. Step 4: Simplify right side
    942.30x = 794,261.06
  5. Step 5: Solve for x
    x = 794,261.06/942.30
  6. Step 6: Final answer
    x = 842.90

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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.