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Finding the Fourth Proportional to 1,095.62, 1,635.63 and 1,057.18

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Solution

The fourth proportional to 1,095.62, 1,635.63 and 1,057.18 is: 1,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.62 : 1,635.63 = 1,057.18 : x
  2. Step 2: Convert to fraction form
    1,095.62/1,635.63 = 1,057.18/x
  3. Step 3: Cross multiply
    1,095.62x = 1,635.63 × 1,057.18
  4. Step 4: Simplify right side
    1,095.62x = 1,729,141.86
  5. Step 5: Solve for x
    x = 1,729,141.86/1,095.62
  6. Step 6: Final answer
    x = 1,578.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.