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Finding the Fourth Proportional to 874.26, 1,317.44 and 832.55

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Solution

The fourth proportional to 874.26, 1,317.44 and 832.55 is: 1,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,317.44 = 832.55 : x
  2. Step 2: Convert to fraction form
    874.26/1,317.44 = 832.55/x
  3. Step 3: Cross multiply
    874.26x = 1,317.44 × 832.55
  4. Step 4: Simplify right side
    874.26x = 1,096,823.92
  5. Step 5: Solve for x
    x = 1,096,823.92/874.26
  6. Step 6: Final answer
    x = 1,254.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.