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Finding the Fourth Proportional to 1,266.36, 1,897.97 and 900.38

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Solution

The fourth proportional to 1,266.36, 1,897.97 and 900.38 is: 1,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.36 : 1,897.97 = 900.38 : x
  2. Step 2: Convert to fraction form
    1,266.36/1,897.97 = 900.38/x
  3. Step 3: Cross multiply
    1,266.36x = 1,897.97 × 900.38
  4. Step 4: Simplify right side
    1,266.36x = 1,708,880.24
  5. Step 5: Solve for x
    x = 1,708,880.24/1,266.36
  6. Step 6: Final answer
    x = 1,349.44

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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.