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Finding the Fourth Proportional to 684.78, 945.28 and 519.04

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Solution

The fourth proportional to 684.78, 945.28 and 519.04 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.78 : 945.28 = 519.04 : x
  2. Step 2: Convert to fraction form
    684.78/945.28 = 519.04/x
  3. Step 3: Cross multiply
    684.78x = 945.28 × 519.04
  4. Step 4: Simplify right side
    684.78x = 490,638.13
  5. Step 5: Solve for x
    x = 490,638.13/684.78
  6. Step 6: Final answer
    x = 716.49

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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.