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Finding the Fourth Proportional to 942.20, 1,300.22 and 549.44

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Solution

The fourth proportional to 942.20, 1,300.22 and 549.44 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.20 : 1,300.22 = 549.44 : x
  2. Step 2: Convert to fraction form
    942.20/1,300.22 = 549.44/x
  3. Step 3: Cross multiply
    942.20x = 1,300.22 × 549.44
  4. Step 4: Simplify right side
    942.20x = 714,383.63
  5. Step 5: Solve for x
    x = 714,383.63/942.20
  6. Step 6: Final answer
    x = 758.21

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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.