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Finding the Fourth Proportional to 988.20, 1,474.26 and 843

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Solution

The fourth proportional to 988.20, 1,474.26 and 843 is: 1,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.20 : 1,474.26 = 843 : x
  2. Step 2: Convert to fraction form
    988.20/1,474.26 = 843/x
  3. Step 3: Cross multiply
    988.20x = 1,474.26 × 843
  4. Step 4: Simplify right side
    988.20x = 1,242,801.18
  5. Step 5: Solve for x
    x = 1,242,801.18/988.20
  6. Step 6: Final answer
    x = 1,257.64

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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.