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Finding the Fourth Proportional to 956.05, 1,434.62 and 408.18

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Solution

The fourth proportional to 956.05, 1,434.62 and 408.18 is: 612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.05 : 1,434.62 = 408.18 : x
  2. Step 2: Convert to fraction form
    956.05/1,434.62 = 408.18/x
  3. Step 3: Cross multiply
    956.05x = 1,434.62 × 408.18
  4. Step 4: Simplify right side
    956.05x = 585,583.19
  5. Step 5: Solve for x
    x = 585,583.19/956.05
  6. Step 6: Final answer
    x = 612.50

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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.