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Finding the Fourth Proportional to 954.03, 1,305.23 and 949.94

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Solution

The fourth proportional to 954.03, 1,305.23 and 949.94 is: 1,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.03 : 1,305.23 = 949.94 : x
  2. Step 2: Convert to fraction form
    954.03/1,305.23 = 949.94/x
  3. Step 3: Cross multiply
    954.03x = 1,305.23 × 949.94
  4. Step 4: Simplify right side
    954.03x = 1,239,878.91
  5. Step 5: Solve for x
    x = 1,239,878.91/954.03
  6. Step 6: Final answer
    x = 1,299.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.