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Finding the Fourth Proportional to 1,297.32, 1,945.53 and 419.60

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Solution

The fourth proportional to 1,297.32, 1,945.53 and 419.60 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,945.53 = 419.60 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,945.53 = 419.60/x
  3. Step 3: Cross multiply
    1,297.32x = 1,945.53 × 419.60
  4. Step 4: Simplify right side
    1,297.32x = 816,334.66
  5. Step 5: Solve for x
    x = 816,334.66/1,297.32
  6. Step 6: Final answer
    x = 629.25

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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.