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Finding the Fourth Proportional to 1,425.78, 1,967.14 and 836.17

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Solution

The fourth proportional to 1,425.78, 1,967.14 and 836.17 is: 1,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.78 : 1,967.14 = 836.17 : x
  2. Step 2: Convert to fraction form
    1,425.78/1,967.14 = 836.17/x
  3. Step 3: Cross multiply
    1,425.78x = 1,967.14 × 836.17
  4. Step 4: Simplify right side
    1,425.78x = 1,644,863.45
  5. Step 5: Solve for x
    x = 1,644,863.45/1,425.78
  6. Step 6: Final answer
    x = 1,153.66

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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.