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Finding the Fourth Proportional to 682.97, 1,023.05 and 632.39

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Solution

The fourth proportional to 682.97, 1,023.05 and 632.39 is: 947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 1,023.05 = 632.39 : x
  2. Step 2: Convert to fraction form
    682.97/1,023.05 = 632.39/x
  3. Step 3: Cross multiply
    682.97x = 1,023.05 × 632.39
  4. Step 4: Simplify right side
    682.97x = 646,963.06
  5. Step 5: Solve for x
    x = 646,963.06/682.97
  6. Step 6: Final answer
    x = 947.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.