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Finding the Fourth Proportional to 661.05, 989.28 and 454.23

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Solution

The fourth proportional to 661.05, 989.28 and 454.23 is: 679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.05 : 989.28 = 454.23 : x
  2. Step 2: Convert to fraction form
    661.05/989.28 = 454.23/x
  3. Step 3: Cross multiply
    661.05x = 989.28 × 454.23
  4. Step 4: Simplify right side
    661.05x = 449,360.65
  5. Step 5: Solve for x
    x = 449,360.65/661.05
  6. Step 6: Final answer
    x = 679.77

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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.