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Finding the Fourth Proportional to 1,267.96, 1,905.30 and 942.28

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Solution

The fourth proportional to 1,267.96, 1,905.30 and 942.28 is: 1,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.96 : 1,905.30 = 942.28 : x
  2. Step 2: Convert to fraction form
    1,267.96/1,905.30 = 942.28/x
  3. Step 3: Cross multiply
    1,267.96x = 1,905.30 × 942.28
  4. Step 4: Simplify right side
    1,267.96x = 1,795,326.08
  5. Step 5: Solve for x
    x = 1,795,326.08/1,267.96
  6. Step 6: Final answer
    x = 1,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.