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Finding the Fourth Proportional to 1,426.44, 1,967.94 and 836.76

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Solution

The fourth proportional to 1,426.44, 1,967.94 and 836.76 is: 1,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.44 : 1,967.94 = 836.76 : x
  2. Step 2: Convert to fraction form
    1,426.44/1,967.94 = 836.76/x
  3. Step 3: Cross multiply
    1,426.44x = 1,967.94 × 836.76
  4. Step 4: Simplify right side
    1,426.44x = 1,646,689.29
  5. Step 5: Solve for x
    x = 1,646,689.29/1,426.44
  6. Step 6: Final answer
    x = 1,154.40

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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.