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Finding the Fourth Proportional to 955.92, 1,434.06 and 408.09

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Solution

The fourth proportional to 955.92, 1,434.06 and 408.09 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.92 : 1,434.06 = 408.09 : x
  2. Step 2: Convert to fraction form
    955.92/1,434.06 = 408.09/x
  3. Step 3: Cross multiply
    955.92x = 1,434.06 × 408.09
  4. Step 4: Simplify right side
    955.92x = 585,225.55
  5. Step 5: Solve for x
    x = 585,225.55/955.92
  6. Step 6: Final answer
    x = 612.21

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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.