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Finding the Fourth Proportional to 1,221.26, 1,684.53 and 801.99

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Solution

The fourth proportional to 1,221.26, 1,684.53 and 801.99 is: 1,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.26 : 1,684.53 = 801.99 : x
  2. Step 2: Convert to fraction form
    1,221.26/1,684.53 = 801.99/x
  3. Step 3: Cross multiply
    1,221.26x = 1,684.53 × 801.99
  4. Step 4: Simplify right side
    1,221.26x = 1,350,976.21
  5. Step 5: Solve for x
    x = 1,350,976.21/1,221.26
  6. Step 6: Final answer
    x = 1,106.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.