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Finding the Fourth Proportional to 1,297.96, 1,945.50 and 681.52

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Solution

The fourth proportional to 1,297.96, 1,945.50 and 681.52 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.96 : 1,945.50 = 681.52 : x
  2. Step 2: Convert to fraction form
    1,297.96/1,945.50 = 681.52/x
  3. Step 3: Cross multiply
    1,297.96x = 1,945.50 × 681.52
  4. Step 4: Simplify right side
    1,297.96x = 1,325,897.16
  5. Step 5: Solve for x
    x = 1,325,897.16/1,297.96
  6. Step 6: Final answer
    x = 1,021.52

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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.