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Finding the Fourth Proportional to 1,161.96, 1,603.09 and 664.24

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Solution

The fourth proportional to 1,161.96, 1,603.09 and 664.24 is: 916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,603.09 = 664.24 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,603.09 = 664.24/x
  3. Step 3: Cross multiply
    1,161.96x = 1,603.09 × 664.24
  4. Step 4: Simplify right side
    1,161.96x = 1,064,836.50
  5. Step 5: Solve for x
    x = 1,064,836.50/1,161.96
  6. Step 6: Final answer
    x = 916.41

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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.