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Finding the Fourth Proportional to 1,095.14, 1,642.46 and 401.43

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Solution

The fourth proportional to 1,095.14, 1,642.46 and 401.43 is: 602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.14 : 1,642.46 = 401.43 : x
  2. Step 2: Convert to fraction form
    1,095.14/1,642.46 = 401.43/x
  3. Step 3: Cross multiply
    1,095.14x = 1,642.46 × 401.43
  4. Step 4: Simplify right side
    1,095.14x = 659,336.87
  5. Step 5: Solve for x
    x = 659,336.87/1,095.14
  6. Step 6: Final answer
    x = 602.06

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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.