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Finding the Fourth Proportional to 746.38, 1,119.76 and 259.46

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Solution

The fourth proportional to 746.38, 1,119.76 and 259.46 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.38 : 1,119.76 = 259.46 : x
  2. Step 2: Convert to fraction form
    746.38/1,119.76 = 259.46/x
  3. Step 3: Cross multiply
    746.38x = 1,119.76 × 259.46
  4. Step 4: Simplify right side
    746.38x = 290,532.93
  5. Step 5: Solve for x
    x = 290,532.93/746.38
  6. Step 6: Final answer
    x = 389.26

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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.