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Finding the Fourth Proportional to 1,431.42, 1,972.26 and 988.44

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Solution

The fourth proportional to 1,431.42, 1,972.26 and 988.44 is: 1,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.42 : 1,972.26 = 988.44 : x
  2. Step 2: Convert to fraction form
    1,431.42/1,972.26 = 988.44/x
  3. Step 3: Cross multiply
    1,431.42x = 1,972.26 × 988.44
  4. Step 4: Simplify right side
    1,431.42x = 1,949,460.67
  5. Step 5: Solve for x
    x = 1,949,460.67/1,431.42
  6. Step 6: Final answer
    x = 1,361.91

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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.