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Finding the Fourth Proportional to 1,308.39, 1,802.25 and 1,222.29

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Solution

The fourth proportional to 1,308.39, 1,802.25 and 1,222.29 is: 1,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.39 : 1,802.25 = 1,222.29 : x
  2. Step 2: Convert to fraction form
    1,308.39/1,802.25 = 1,222.29/x
  3. Step 3: Cross multiply
    1,308.39x = 1,802.25 × 1,222.29
  4. Step 4: Simplify right side
    1,308.39x = 2,202,872.15
  5. Step 5: Solve for x
    x = 2,202,872.15/1,308.39
  6. Step 6: Final answer
    x = 1,683.66

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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.