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Finding the Fourth Proportional to 969.44, 1,454.51 and 414.27

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Solution

The fourth proportional to 969.44, 1,454.51 and 414.27 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,454.51 = 414.27 : x
  2. Step 2: Convert to fraction form
    969.44/1,454.51 = 414.27/x
  3. Step 3: Cross multiply
    969.44x = 1,454.51 × 414.27
  4. Step 4: Simplify right side
    969.44x = 602,560.89
  5. Step 5: Solve for x
    x = 602,560.89/969.44
  6. Step 6: Final answer
    x = 621.56

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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.