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Finding the Fourth Proportional to 1,426.80, 1,969.07 and 837.38

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Solution

The fourth proportional to 1,426.80, 1,969.07 and 837.38 is: 1,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.80 : 1,969.07 = 837.38 : x
  2. Step 2: Convert to fraction form
    1,426.80/1,969.07 = 837.38/x
  3. Step 3: Cross multiply
    1,426.80x = 1,969.07 × 837.38
  4. Step 4: Simplify right side
    1,426.80x = 1,648,859.84
  5. Step 5: Solve for x
    x = 1,648,859.84/1,426.80
  6. Step 6: Final answer
    x = 1,155.63

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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.