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Finding the Fourth Proportional to 969.89, 1,455.24 and 469.31

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Solution

The fourth proportional to 969.89, 1,455.24 and 469.31 is: 704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.89 : 1,455.24 = 469.31 : x
  2. Step 2: Convert to fraction form
    969.89/1,455.24 = 469.31/x
  3. Step 3: Cross multiply
    969.89x = 1,455.24 × 469.31
  4. Step 4: Simplify right side
    969.89x = 682,949.06
  5. Step 5: Solve for x
    x = 682,949.06/969.89
  6. Step 6: Final answer
    x = 704.15

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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.