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Finding the Fourth Proportional to 1,349.26, 2,021.15 and 698.63

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Solution

The fourth proportional to 1,349.26, 2,021.15 and 698.63 is: 1,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.26 : 2,021.15 = 698.63 : x
  2. Step 2: Convert to fraction form
    1,349.26/2,021.15 = 698.63/x
  3. Step 3: Cross multiply
    1,349.26x = 2,021.15 × 698.63
  4. Step 4: Simplify right side
    1,349.26x = 1,412,027.67
  5. Step 5: Solve for x
    x = 1,412,027.67/1,349.26
  6. Step 6: Final answer
    x = 1,046.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.