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Finding the Fourth Proportional to 746.51, 1,118.99 and 259.29

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Solution

The fourth proportional to 746.51, 1,118.99 and 259.29 is: 388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,118.99 = 259.29 : x
  2. Step 2: Convert to fraction form
    746.51/1,118.99 = 259.29/x
  3. Step 3: Cross multiply
    746.51x = 1,118.99 × 259.29
  4. Step 4: Simplify right side
    746.51x = 290,143.57
  5. Step 5: Solve for x
    x = 290,143.57/746.51
  6. Step 6: Final answer
    x = 388.67

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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.