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Finding the Fourth Proportional to 1,095.69, 1,641.56 and 684.63

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Solution

The fourth proportional to 1,095.69, 1,641.56 and 684.63 is: 1,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.69 : 1,641.56 = 684.63 : x
  2. Step 2: Convert to fraction form
    1,095.69/1,641.56 = 684.63/x
  3. Step 3: Cross multiply
    1,095.69x = 1,641.56 × 684.63
  4. Step 4: Simplify right side
    1,095.69x = 1,123,857.80
  5. Step 5: Solve for x
    x = 1,123,857.80/1,095.69
  6. Step 6: Final answer
    x = 1,025.71

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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.