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Finding the Fourth Proportional to 956.35, 1,433.71 and 408.52

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Solution

The fourth proportional to 956.35, 1,433.71 and 408.52 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.35 : 1,433.71 = 408.52 : x
  2. Step 2: Convert to fraction form
    956.35/1,433.71 = 408.52/x
  3. Step 3: Cross multiply
    956.35x = 1,433.71 × 408.52
  4. Step 4: Simplify right side
    956.35x = 585,699.21
  5. Step 5: Solve for x
    x = 585,699.21/956.35
  6. Step 6: Final answer
    x = 612.43

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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.