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Finding the Fourth Proportional to 974.72, 1,462.26 and 837.38

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Solution

The fourth proportional to 974.72, 1,462.26 and 837.38 is: 1,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.72 : 1,462.26 = 837.38 : x
  2. Step 2: Convert to fraction form
    974.72/1,462.26 = 837.38/x
  3. Step 3: Cross multiply
    974.72x = 1,462.26 × 837.38
  4. Step 4: Simplify right side
    974.72x = 1,224,467.28
  5. Step 5: Solve for x
    x = 1,224,467.28/974.72
  6. Step 6: Final answer
    x = 1,256.22

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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.