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Finding the Fourth Proportional to 1,267.57, 1,747.65 and 969.18

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Solution

The fourth proportional to 1,267.57, 1,747.65 and 969.18 is: 1,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.57 : 1,747.65 = 969.18 : x
  2. Step 2: Convert to fraction form
    1,267.57/1,747.65 = 969.18/x
  3. Step 3: Cross multiply
    1,267.57x = 1,747.65 × 969.18
  4. Step 4: Simplify right side
    1,267.57x = 1,693,787.43
  5. Step 5: Solve for x
    x = 1,693,787.43/1,267.57
  6. Step 6: Final answer
    x = 1,336.25

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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.