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Finding the Fourth Proportional to 843.62, 1,259.89 and 706.73

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Solution

The fourth proportional to 843.62, 1,259.89 and 706.73 is: 1,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.62 : 1,259.89 = 706.73 : x
  2. Step 2: Convert to fraction form
    843.62/1,259.89 = 706.73/x
  3. Step 3: Cross multiply
    843.62x = 1,259.89 × 706.73
  4. Step 4: Simplify right side
    843.62x = 890,393.99
  5. Step 5: Solve for x
    x = 890,393.99/843.62
  6. Step 6: Final answer
    x = 1,055.45

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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.