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Finding the Fourth Proportional to 1,097.98, 1,646.87 and 276.23

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Solution

The fourth proportional to 1,097.98, 1,646.87 and 276.23 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.98 : 1,646.87 = 276.23 : x
  2. Step 2: Convert to fraction form
    1,097.98/1,646.87 = 276.23/x
  3. Step 3: Cross multiply
    1,097.98x = 1,646.87 × 276.23
  4. Step 4: Simplify right side
    1,097.98x = 454,914.90
  5. Step 5: Solve for x
    x = 454,914.90/1,097.98
  6. Step 6: Final answer
    x = 414.32

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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.