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Finding the Fourth Proportional to 1,297.06, 1,945.65 and 323.19

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Solution

The fourth proportional to 1,297.06, 1,945.65 and 323.19 is: 484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.06 : 1,945.65 = 323.19 : x
  2. Step 2: Convert to fraction form
    1,297.06/1,945.65 = 323.19/x
  3. Step 3: Cross multiply
    1,297.06x = 1,945.65 × 323.19
  4. Step 4: Simplify right side
    1,297.06x = 628,813.11
  5. Step 5: Solve for x
    x = 628,813.11/1,297.06
  6. Step 6: Final answer
    x = 484.80

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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.