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Finding the Fourth Proportional to 1,269.25, 1,903.19 and 684.95

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Solution

The fourth proportional to 1,269.25, 1,903.19 and 684.95 is: 1,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.25 : 1,903.19 = 684.95 : x
  2. Step 2: Convert to fraction form
    1,269.25/1,903.19 = 684.95/x
  3. Step 3: Cross multiply
    1,269.25x = 1,903.19 × 684.95
  4. Step 4: Simplify right side
    1,269.25x = 1,303,577.05
  5. Step 5: Solve for x
    x = 1,303,577.05/1,269.25
  6. Step 6: Final answer
    x = 1,027.05

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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.