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Finding the Fourth Proportional to 1,324.55, 1,982.21 and 933.66

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Solution

The fourth proportional to 1,324.55, 1,982.21 and 933.66 is: 1,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.55 : 1,982.21 = 933.66 : x
  2. Step 2: Convert to fraction form
    1,324.55/1,982.21 = 933.66/x
  3. Step 3: Cross multiply
    1,324.55x = 1,982.21 × 933.66
  4. Step 4: Simplify right side
    1,324.55x = 1,850,705.52
  5. Step 5: Solve for x
    x = 1,850,705.52/1,324.55
  6. Step 6: Final answer
    x = 1,397.23

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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.