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Finding the Fourth Proportional to 1,225.22, 1,837.96 and 359.54

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Solution

The fourth proportional to 1,225.22, 1,837.96 and 359.54 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.22 : 1,837.96 = 359.54 : x
  2. Step 2: Convert to fraction form
    1,225.22/1,837.96 = 359.54/x
  3. Step 3: Cross multiply
    1,225.22x = 1,837.96 × 359.54
  4. Step 4: Simplify right side
    1,225.22x = 660,820.14
  5. Step 5: Solve for x
    x = 660,820.14/1,225.22
  6. Step 6: Final answer
    x = 539.35

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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.