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Finding the Fourth Proportional to 731.54, 1,096.23 and 677.54

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Solution

The fourth proportional to 731.54, 1,096.23 and 677.54 is: 1,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.54 : 1,096.23 = 677.54 : x
  2. Step 2: Convert to fraction form
    731.54/1,096.23 = 677.54/x
  3. Step 3: Cross multiply
    731.54x = 1,096.23 × 677.54
  4. Step 4: Simplify right side
    731.54x = 742,739.67
  5. Step 5: Solve for x
    x = 742,739.67/731.54
  6. Step 6: Final answer
    x = 1,015.31

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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.