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Finding the Fourth Proportional to 1,431.38, 1,975.19 and 900.09

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Solution

The fourth proportional to 1,431.38, 1,975.19 and 900.09 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.38 : 1,975.19 = 900.09 : x
  2. Step 2: Convert to fraction form
    1,431.38/1,975.19 = 900.09/x
  3. Step 3: Cross multiply
    1,431.38x = 1,975.19 × 900.09
  4. Step 4: Simplify right side
    1,431.38x = 1,777,844.27
  5. Step 5: Solve for x
    x = 1,777,844.27/1,431.38
  6. Step 6: Final answer
    x = 1,242.05

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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.