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Finding the Fourth Proportional to 1,315.44, 1,972.89 and 493.26

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Solution

The fourth proportional to 1,315.44, 1,972.89 and 493.26 is: 739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.44 : 1,972.89 = 493.26 : x
  2. Step 2: Convert to fraction form
    1,315.44/1,972.89 = 493.26/x
  3. Step 3: Cross multiply
    1,315.44x = 1,972.89 × 493.26
  4. Step 4: Simplify right side
    1,315.44x = 973,147.72
  5. Step 5: Solve for x
    x = 973,147.72/1,315.44
  6. Step 6: Final answer
    x = 739.79

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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.