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Finding the Fourth Proportional to 1,266.94, 1,900.38 and 329.87

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Solution

The fourth proportional to 1,266.94, 1,900.38 and 329.87 is: 494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.94 : 1,900.38 = 329.87 : x
  2. Step 2: Convert to fraction form
    1,266.94/1,900.38 = 329.87/x
  3. Step 3: Cross multiply
    1,266.94x = 1,900.38 × 329.87
  4. Step 4: Simplify right side
    1,266.94x = 626,878.35
  5. Step 5: Solve for x
    x = 626,878.35/1,266.94
  6. Step 6: Final answer
    x = 494.80

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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.