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Finding the Fourth Proportional to 1,427.49, 1,969.92 and 838.08

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Solution

The fourth proportional to 1,427.49, 1,969.92 and 838.08 is: 1,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.49 : 1,969.92 = 838.08 : x
  2. Step 2: Convert to fraction form
    1,427.49/1,969.92 = 838.08/x
  3. Step 3: Cross multiply
    1,427.49x = 1,969.92 × 838.08
  4. Step 4: Simplify right side
    1,427.49x = 1,650,950.55
  5. Step 5: Solve for x
    x = 1,650,950.55/1,427.49
  6. Step 6: Final answer
    x = 1,156.54

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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.