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Finding the Fourth Proportional to 1,168.72, 1,753.32 and 438.22

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Solution

The fourth proportional to 1,168.72, 1,753.32 and 438.22 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.72 : 1,753.32 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,168.72/1,753.32 = 438.22/x
  3. Step 3: Cross multiply
    1,168.72x = 1,753.32 × 438.22
  4. Step 4: Simplify right side
    1,168.72x = 768,339.89
  5. Step 5: Solve for x
    x = 768,339.89/1,168.72
  6. Step 6: Final answer
    x = 657.42

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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.