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Finding the Fourth Proportional to 1,201.61, 1,802.64 and 380.09

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Solution

The fourth proportional to 1,201.61, 1,802.64 and 380.09 is: 570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.61 : 1,802.64 = 380.09 : x
  2. Step 2: Convert to fraction form
    1,201.61/1,802.64 = 380.09/x
  3. Step 3: Cross multiply
    1,201.61x = 1,802.64 × 380.09
  4. Step 4: Simplify right side
    1,201.61x = 685,164.49
  5. Step 5: Solve for x
    x = 685,164.49/1,201.61
  6. Step 6: Final answer
    x = 570.21

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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.