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Finding the Fourth Proportional to 969.33, 1,454.00 and 682.05

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Solution

The fourth proportional to 969.33, 1,454.00 and 682.05 is: 1,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.33 : 1,454.00 = 682.05 : x
  2. Step 2: Convert to fraction form
    969.33/1,454.00 = 682.05/x
  3. Step 3: Cross multiply
    969.33x = 1,454.00 × 682.05
  4. Step 4: Simplify right side
    969.33x = 991,697.29
  5. Step 5: Solve for x
    x = 991,697.29/969.33
  6. Step 6: Final answer
    x = 1,023.08

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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.