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Finding the Fourth Proportional to 1,427.88, 1,970.40 and 838.74

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Solution

The fourth proportional to 1,427.88, 1,970.40 and 838.74 is: 1,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.88 : 1,970.40 = 838.74 : x
  2. Step 2: Convert to fraction form
    1,427.88/1,970.40 = 838.74/x
  3. Step 3: Cross multiply
    1,427.88x = 1,970.40 × 838.74
  4. Step 4: Simplify right side
    1,427.88x = 1,652,653.30
  5. Step 5: Solve for x
    x = 1,652,653.30/1,427.88
  6. Step 6: Final answer
    x = 1,157.42

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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.