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Finding the Fourth Proportional to 1,201.56, 1,802.64 and 379.80

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Solution

The fourth proportional to 1,201.56, 1,802.64 and 379.80 is: 569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.56 : 1,802.64 = 379.80 : x
  2. Step 2: Convert to fraction form
    1,201.56/1,802.64 = 379.80/x
  3. Step 3: Cross multiply
    1,201.56x = 1,802.64 × 379.80
  4. Step 4: Simplify right side
    1,201.56x = 684,642.67
  5. Step 5: Solve for x
    x = 684,642.67/1,201.56
  6. Step 6: Final answer
    x = 569.79

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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.