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Finding the Fourth Proportional to 1,490.49, 2,233.31 and 759.06

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Solution

The fourth proportional to 1,490.49, 2,233.31 and 759.06 is: 1,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.49 : 2,233.31 = 759.06 : x
  2. Step 2: Convert to fraction form
    1,490.49/2,233.31 = 759.06/x
  3. Step 3: Cross multiply
    1,490.49x = 2,233.31 × 759.06
  4. Step 4: Simplify right side
    1,490.49x = 1,695,219.97
  5. Step 5: Solve for x
    x = 1,695,219.97/1,490.49
  6. Step 6: Final answer
    x = 1,137.36

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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.