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Finding the Fourth Proportional to 1,429, 1,972.14 and 905.44

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Solution

The fourth proportional to 1,429, 1,972.14 and 905.44 is: 1,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429 : 1,972.14 = 905.44 : x
  2. Step 2: Convert to fraction form
    1,429/1,972.14 = 905.44/x
  3. Step 3: Cross multiply
    1,429x = 1,972.14 × 905.44
  4. Step 4: Simplify right side
    1,429x = 1,785,654.44
  5. Step 5: Solve for x
    x = 1,785,654.44/1,429
  6. Step 6: Final answer
    x = 1,249.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.