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Finding the Fourth Proportional to 1,297.29, 1,945.86 and 323.40

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Solution

The fourth proportional to 1,297.29, 1,945.86 and 323.40 is: 485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.29 : 1,945.86 = 323.40 : x
  2. Step 2: Convert to fraction form
    1,297.29/1,945.86 = 323.40/x
  3. Step 3: Cross multiply
    1,297.29x = 1,945.86 × 323.40
  4. Step 4: Simplify right side
    1,297.29x = 629,291.12
  5. Step 5: Solve for x
    x = 629,291.12/1,297.29
  6. Step 6: Final answer
    x = 485.08

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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.