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Finding the Fourth Proportional to 686.06, 945.63 and 511.34

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Solution

The fourth proportional to 686.06, 945.63 and 511.34 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.06 : 945.63 = 511.34 : x
  2. Step 2: Convert to fraction form
    686.06/945.63 = 511.34/x
  3. Step 3: Cross multiply
    686.06x = 945.63 × 511.34
  4. Step 4: Simplify right side
    686.06x = 483,538.44
  5. Step 5: Solve for x
    x = 483,538.44/686.06
  6. Step 6: Final answer
    x = 704.80

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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.