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Finding the Fourth Proportional to 746.99, 1,119.56 and 259.47

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Solution

The fourth proportional to 746.99, 1,119.56 and 259.47 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.99 : 1,119.56 = 259.47 : x
  2. Step 2: Convert to fraction form
    746.99/1,119.56 = 259.47/x
  3. Step 3: Cross multiply
    746.99x = 1,119.56 × 259.47
  4. Step 4: Simplify right side
    746.99x = 290,492.23
  5. Step 5: Solve for x
    x = 290,492.23/746.99
  6. Step 6: Final answer
    x = 388.88

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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.