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Finding the Fourth Proportional to 682.02, 940.41 and 549.18

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Solution

The fourth proportional to 682.02, 940.41 and 549.18 is: 757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 940.41 = 549.18 : x
  2. Step 2: Convert to fraction form
    682.02/940.41 = 549.18/x
  3. Step 3: Cross multiply
    682.02x = 940.41 × 549.18
  4. Step 4: Simplify right side
    682.02x = 516,454.36
  5. Step 5: Solve for x
    x = 516,454.36/682.02
  6. Step 6: Final answer
    x = 757.24

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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.