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Finding the Fourth Proportional to 844.93, 1,261.31 and 721.00

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Solution

The fourth proportional to 844.93, 1,261.31 and 721.00 is: 1,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,261.31 = 721.00 : x
  2. Step 2: Convert to fraction form
    844.93/1,261.31 = 721.00/x
  3. Step 3: Cross multiply
    844.93x = 1,261.31 × 721.00
  4. Step 4: Simplify right side
    844.93x = 909,398.20
  5. Step 5: Solve for x
    x = 909,398.20/844.93
  6. Step 6: Final answer
    x = 1,076.31

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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.