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Finding the Fourth Proportional to 1,097.96, 1,647.98 and 405.30

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Solution

The fourth proportional to 1,097.96, 1,647.98 and 405.30 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.96 : 1,647.98 = 405.30 : x
  2. Step 2: Convert to fraction form
    1,097.96/1,647.98 = 405.30/x
  3. Step 3: Cross multiply
    1,097.96x = 1,647.98 × 405.30
  4. Step 4: Simplify right side
    1,097.96x = 667,926.29
  5. Step 5: Solve for x
    x = 667,926.29/1,097.96
  6. Step 6: Final answer
    x = 608.33

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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.