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Finding the Fourth Proportional to 734.09, 1,012.87 and 419.27

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Solution

The fourth proportional to 734.09, 1,012.87 and 419.27 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.09 : 1,012.87 = 419.27 : x
  2. Step 2: Convert to fraction form
    734.09/1,012.87 = 419.27/x
  3. Step 3: Cross multiply
    734.09x = 1,012.87 × 419.27
  4. Step 4: Simplify right side
    734.09x = 424,659.89
  5. Step 5: Solve for x
    x = 424,659.89/734.09
  6. Step 6: Final answer
    x = 578.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.