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Finding the Fourth Proportional to 746.22, 1,119.60 and 258.99

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Solution

The fourth proportional to 746.22, 1,119.60 and 258.99 is: 388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.22 : 1,119.60 = 258.99 : x
  2. Step 2: Convert to fraction form
    746.22/1,119.60 = 258.99/x
  3. Step 3: Cross multiply
    746.22x = 1,119.60 × 258.99
  4. Step 4: Simplify right side
    746.22x = 289,965.20
  5. Step 5: Solve for x
    x = 289,965.20/746.22
  6. Step 6: Final answer
    x = 388.58

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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.