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Finding the Fourth Proportional to 1,201.63, 1,802.48 and 379.91

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Solution

The fourth proportional to 1,201.63, 1,802.48 and 379.91 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.63 : 1,802.48 = 379.91 : x
  2. Step 2: Convert to fraction form
    1,201.63/1,802.48 = 379.91/x
  3. Step 3: Cross multiply
    1,201.63x = 1,802.48 × 379.91
  4. Step 4: Simplify right side
    1,201.63x = 684,780.18
  5. Step 5: Solve for x
    x = 684,780.18/1,201.63
  6. Step 6: Final answer
    x = 569.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.