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Finding the Fourth Proportional to 682.70, 1,029.08 and 666.30

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Solution

The fourth proportional to 682.70, 1,029.08 and 666.30 is: 1,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.70 : 1,029.08 = 666.30 : x
  2. Step 2: Convert to fraction form
    682.70/1,029.08 = 666.30/x
  3. Step 3: Cross multiply
    682.70x = 1,029.08 × 666.30
  4. Step 4: Simplify right side
    682.70x = 685,676.00
  5. Step 5: Solve for x
    x = 685,676.00/682.70
  6. Step 6: Final answer
    x = 1,004.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.