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Finding the Fourth Proportional to 661.26, 989.55 and 401.07

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Solution

The fourth proportional to 661.26, 989.55 and 401.07 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.26 : 989.55 = 401.07 : x
  2. Step 2: Convert to fraction form
    661.26/989.55 = 401.07/x
  3. Step 3: Cross multiply
    661.26x = 989.55 × 401.07
  4. Step 4: Simplify right side
    661.26x = 396,878.82
  5. Step 5: Solve for x
    x = 396,878.82/661.26
  6. Step 6: Final answer
    x = 600.19

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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.