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Finding the Fourth Proportional to 956.85, 1,434.07 and 408.39

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Solution

The fourth proportional to 956.85, 1,434.07 and 408.39 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.85 : 1,434.07 = 408.39 : x
  2. Step 2: Convert to fraction form
    956.85/1,434.07 = 408.39/x
  3. Step 3: Cross multiply
    956.85x = 1,434.07 × 408.39
  4. Step 4: Simplify right side
    956.85x = 585,654.98
  5. Step 5: Solve for x
    x = 585,654.98/956.85
  6. Step 6: Final answer
    x = 612.07

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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.