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Finding the Fourth Proportional to 1,490.43, 2,235.70 and 759.44

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Solution

The fourth proportional to 1,490.43, 2,235.70 and 759.44 is: 1,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.43 : 2,235.70 = 759.44 : x
  2. Step 2: Convert to fraction form
    1,490.43/2,235.70 = 759.44/x
  3. Step 3: Cross multiply
    1,490.43x = 2,235.70 × 759.44
  4. Step 4: Simplify right side
    1,490.43x = 1,697,886.55
  5. Step 5: Solve for x
    x = 1,697,886.55/1,490.43
  6. Step 6: Final answer
    x = 1,139.19

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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.