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Finding the Fourth Proportional to 966.01, 1,448.83 and 272.51

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Solution

The fourth proportional to 966.01, 1,448.83 and 272.51 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.01 : 1,448.83 = 272.51 : x
  2. Step 2: Convert to fraction form
    966.01/1,448.83 = 272.51/x
  3. Step 3: Cross multiply
    966.01x = 1,448.83 × 272.51
  4. Step 4: Simplify right side
    966.01x = 394,812.06
  5. Step 5: Solve for x
    x = 394,812.06/966.01
  6. Step 6: Final answer
    x = 408.70

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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.