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Finding the Fourth Proportional to 969.31, 1,454.66 and 579.07

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Solution

The fourth proportional to 969.31, 1,454.66 and 579.07 is: 869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.31 : 1,454.66 = 579.07 : x
  2. Step 2: Convert to fraction form
    969.31/1,454.66 = 579.07/x
  3. Step 3: Cross multiply
    969.31x = 1,454.66 × 579.07
  4. Step 4: Simplify right side
    969.31x = 842,351.06
  5. Step 5: Solve for x
    x = 842,351.06/969.31
  6. Step 6: Final answer
    x = 869.02

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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.