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Finding the Fourth Proportional to 1,201.72, 1,802.75 and 379.72

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Solution

The fourth proportional to 1,201.72, 1,802.75 and 379.72 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.72 : 1,802.75 = 379.72 : x
  2. Step 2: Convert to fraction form
    1,201.72/1,802.75 = 379.72/x
  3. Step 3: Cross multiply
    1,201.72x = 1,802.75 × 379.72
  4. Step 4: Simplify right side
    1,201.72x = 684,529.32
  5. Step 5: Solve for x
    x = 684,529.32/1,201.72
  6. Step 6: Final answer
    x = 569.63

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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.