Home / 1,396.25-2,094.43-471.90

Finding the Fourth Proportional to 1,396.25, 2,094.43 and 471.90

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Solution

The fourth proportional to 1,396.25, 2,094.43 and 471.90 is: 707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.25 : 2,094.43 = 471.90 : x
  2. Step 2: Convert to fraction form
    1,396.25/2,094.43 = 471.90/x
  3. Step 3: Cross multiply
    1,396.25x = 2,094.43 × 471.90
  4. Step 4: Simplify right side
    1,396.25x = 988,361.52
  5. Step 5: Solve for x
    x = 988,361.52/1,396.25
  6. Step 6: Final answer
    x = 707.87

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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.