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Finding the Fourth Proportional to 1,168.12, 1,611.71 and 664.00

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Solution

The fourth proportional to 1,168.12, 1,611.71 and 664.00 is: 916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.12 : 1,611.71 = 664.00 : x
  2. Step 2: Convert to fraction form
    1,168.12/1,611.71 = 664.00/x
  3. Step 3: Cross multiply
    1,168.12x = 1,611.71 × 664.00
  4. Step 4: Simplify right side
    1,168.12x = 1,070,174.32
  5. Step 5: Solve for x
    x = 1,070,174.32/1,168.12
  6. Step 6: Final answer
    x = 916.15

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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.