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Finding the Fourth Proportional to 1,201.65, 1,802.34 and 379.92

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Solution

The fourth proportional to 1,201.65, 1,802.34 and 379.92 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.65 : 1,802.34 = 379.92 : x
  2. Step 2: Convert to fraction form
    1,201.65/1,802.34 = 379.92/x
  3. Step 3: Cross multiply
    1,201.65x = 1,802.34 × 379.92
  4. Step 4: Simplify right side
    1,201.65x = 684,745.01
  5. Step 5: Solve for x
    x = 684,745.01/1,201.65
  6. Step 6: Final answer
    x = 569.84

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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.