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Finding the Fourth Proportional to 1,094.16, 1,638.32 and 629.58

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Solution

The fourth proportional to 1,094.16, 1,638.32 and 629.58 is: 942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.16 : 1,638.32 = 629.58 : x
  2. Step 2: Convert to fraction form
    1,094.16/1,638.32 = 629.58/x
  3. Step 3: Cross multiply
    1,094.16x = 1,638.32 × 629.58
  4. Step 4: Simplify right side
    1,094.16x = 1,031,453.51
  5. Step 5: Solve for x
    x = 1,031,453.51/1,094.16
  6. Step 6: Final answer
    x = 942.69

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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.