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Finding the Fourth Proportional to 1,397, 2,096.14 and 531.24

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Solution

The fourth proportional to 1,397, 2,096.14 and 531.24 is: 797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397 : 2,096.14 = 531.24 : x
  2. Step 2: Convert to fraction form
    1,397/2,096.14 = 531.24/x
  3. Step 3: Cross multiply
    1,397x = 2,096.14 × 531.24
  4. Step 4: Simplify right side
    1,397x = 1,113,553.41
  5. Step 5: Solve for x
    x = 1,113,553.41/1,397
  6. Step 6: Final answer
    x = 797.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.