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Finding the Fourth Proportional to 1,425.80, 1,967.69 and 836.38

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Solution

The fourth proportional to 1,425.80, 1,967.69 and 836.38 is: 1,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.80 : 1,967.69 = 836.38 : x
  2. Step 2: Convert to fraction form
    1,425.80/1,967.69 = 836.38/x
  3. Step 3: Cross multiply
    1,425.80x = 1,967.69 × 836.38
  4. Step 4: Simplify right side
    1,425.80x = 1,645,730.04
  5. Step 5: Solve for x
    x = 1,645,730.04/1,425.80
  6. Step 6: Final answer
    x = 1,154.25

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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.