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Finding the Fourth Proportional to 1,300.82, 1,951.60 and 684.38

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Solution

The fourth proportional to 1,300.82, 1,951.60 and 684.38 is: 1,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.82 : 1,951.60 = 684.38 : x
  2. Step 2: Convert to fraction form
    1,300.82/1,951.60 = 684.38/x
  3. Step 3: Cross multiply
    1,300.82x = 1,951.60 × 684.38
  4. Step 4: Simplify right side
    1,300.82x = 1,335,636.01
  5. Step 5: Solve for x
    x = 1,335,636.01/1,300.82
  6. Step 6: Final answer
    x = 1,026.76

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