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Finding the Fourth Proportional to 969.83, 1,454.75 and 682.55

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Solution

The fourth proportional to 969.83, 1,454.75 and 682.55 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.83 : 1,454.75 = 682.55 : x
  2. Step 2: Convert to fraction form
    969.83/1,454.75 = 682.55/x
  3. Step 3: Cross multiply
    969.83x = 1,454.75 × 682.55
  4. Step 4: Simplify right side
    969.83x = 992,936.20
  5. Step 5: Solve for x
    x = 992,936.20/969.83
  6. Step 6: Final answer
    x = 1,023.83

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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.