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Finding the Fourth Proportional to 682.98, 941.16 and 486.18

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Solution

The fourth proportional to 682.98, 941.16 and 486.18 is: 669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 941.16 = 486.18 : x
  2. Step 2: Convert to fraction form
    682.98/941.16 = 486.18/x
  3. Step 3: Cross multiply
    682.98x = 941.16 × 486.18
  4. Step 4: Simplify right side
    682.98x = 457,573.17
  5. Step 5: Solve for x
    x = 457,573.17/682.98
  6. Step 6: Final answer
    x = 669.97

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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.