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Finding the Fourth Proportional to 684.96, 945.36 and 518.89

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Solution

The fourth proportional to 684.96, 945.36 and 518.89 is: 716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 945.36 = 518.89 : x
  2. Step 2: Convert to fraction form
    684.96/945.36 = 518.89/x
  3. Step 3: Cross multiply
    684.96x = 945.36 × 518.89
  4. Step 4: Simplify right side
    684.96x = 490,537.85
  5. Step 5: Solve for x
    x = 490,537.85/684.96
  6. Step 6: Final answer
    x = 716.16

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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.