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Finding the Fourth Proportional to 1,431.69, 1,974.69 and 900.06

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Solution

The fourth proportional to 1,431.69, 1,974.69 and 900.06 is: 1,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.69 : 1,974.69 = 900.06 : x
  2. Step 2: Convert to fraction form
    1,431.69/1,974.69 = 900.06/x
  3. Step 3: Cross multiply
    1,431.69x = 1,974.69 × 900.06
  4. Step 4: Simplify right side
    1,431.69x = 1,777,339.48
  5. Step 5: Solve for x
    x = 1,777,339.48/1,431.69
  6. Step 6: Final answer
    x = 1,241.43

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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.