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Finding the Fourth Proportional to 851.30, 1,173.90 and 664.46

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Solution

The fourth proportional to 851.30, 1,173.90 and 664.46 is: 916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,173.90 = 664.46 : x
  2. Step 2: Convert to fraction form
    851.30/1,173.90 = 664.46/x
  3. Step 3: Cross multiply
    851.30x = 1,173.90 × 664.46
  4. Step 4: Simplify right side
    851.30x = 780,009.59
  5. Step 5: Solve for x
    x = 780,009.59/851.30
  6. Step 6: Final answer
    x = 916.26

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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.