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Finding the Fourth Proportional to 843.02, 1,258.64 and 727.34

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Solution

The fourth proportional to 843.02, 1,258.64 and 727.34 is: 1,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.02 : 1,258.64 = 727.34 : x
  2. Step 2: Convert to fraction form
    843.02/1,258.64 = 727.34/x
  3. Step 3: Cross multiply
    843.02x = 1,258.64 × 727.34
  4. Step 4: Simplify right side
    843.02x = 915,452.02
  5. Step 5: Solve for x
    x = 915,452.02/843.02
  6. Step 6: Final answer
    x = 1,085.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.