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Finding the Fourth Proportional to 941.01, 1,297.78 and 744.18

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Solution

The fourth proportional to 941.01, 1,297.78 and 744.18 is: 1,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.01 : 1,297.78 = 744.18 : x
  2. Step 2: Convert to fraction form
    941.01/1,297.78 = 744.18/x
  3. Step 3: Cross multiply
    941.01x = 1,297.78 × 744.18
  4. Step 4: Simplify right side
    941.01x = 965,781.92
  5. Step 5: Solve for x
    x = 965,781.92/941.01
  6. Step 6: Final answer
    x = 1,026.32

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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.