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Finding the Fourth Proportional to 746.47, 1,119.80 and 259.48

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Solution

The fourth proportional to 746.47, 1,119.80 and 259.48 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.47 : 1,119.80 = 259.48 : x
  2. Step 2: Convert to fraction form
    746.47/1,119.80 = 259.48/x
  3. Step 3: Cross multiply
    746.47x = 1,119.80 × 259.48
  4. Step 4: Simplify right side
    746.47x = 290,564.41
  5. Step 5: Solve for x
    x = 290,564.41/746.47
  6. Step 6: Final answer
    x = 389.25

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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.