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Finding the Fourth Proportional to 731.47, 1,096.36 and 406.19

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Solution

The fourth proportional to 731.47, 1,096.36 and 406.19 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.47 : 1,096.36 = 406.19 : x
  2. Step 2: Convert to fraction form
    731.47/1,096.36 = 406.19/x
  3. Step 3: Cross multiply
    731.47x = 1,096.36 × 406.19
  4. Step 4: Simplify right side
    731.47x = 445,330.47
  5. Step 5: Solve for x
    x = 445,330.47/731.47
  6. Step 6: Final answer
    x = 608.82

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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.