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Finding the Fourth Proportional to 1,269.92, 1,904.97 and 684.20

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Solution

The fourth proportional to 1,269.92, 1,904.97 and 684.20 is: 1,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,904.97 = 684.20 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,904.97 = 684.20/x
  3. Step 3: Cross multiply
    1,269.92x = 1,904.97 × 684.20
  4. Step 4: Simplify right side
    1,269.92x = 1,303,380.47
  5. Step 5: Solve for x
    x = 1,303,380.47/1,269.92
  6. Step 6: Final answer
    x = 1,026.35

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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.