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Finding the Fourth Proportional to 812.32, 1,119.69 and 664.70

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Solution

The fourth proportional to 812.32, 1,119.69 and 664.70 is: 916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.32 : 1,119.69 = 664.70 : x
  2. Step 2: Convert to fraction form
    812.32/1,119.69 = 664.70/x
  3. Step 3: Cross multiply
    812.32x = 1,119.69 × 664.70
  4. Step 4: Simplify right side
    812.32x = 744,252.34
  5. Step 5: Solve for x
    x = 744,252.34/812.32
  6. Step 6: Final answer
    x = 916.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.