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Finding the Fourth Proportional to 1,201.65, 1,802.32 and 324.22

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Solution

The fourth proportional to 1,201.65, 1,802.32 and 324.22 is: 486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.65 : 1,802.32 = 324.22 : x
  2. Step 2: Convert to fraction form
    1,201.65/1,802.32 = 324.22/x
  3. Step 3: Cross multiply
    1,201.65x = 1,802.32 × 324.22
  4. Step 4: Simplify right side
    1,201.65x = 584,348.19
  5. Step 5: Solve for x
    x = 584,348.19/1,201.65
  6. Step 6: Final answer
    x = 486.29

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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.