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Finding the Fourth Proportional to 1,097.35, 1,647.20 and 610.27

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Solution

The fourth proportional to 1,097.35, 1,647.20 and 610.27 is: 916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.35 : 1,647.20 = 610.27 : x
  2. Step 2: Convert to fraction form
    1,097.35/1,647.20 = 610.27/x
  3. Step 3: Cross multiply
    1,097.35x = 1,647.20 × 610.27
  4. Step 4: Simplify right side
    1,097.35x = 1,005,236.74
  5. Step 5: Solve for x
    x = 1,005,236.74/1,097.35
  6. Step 6: Final answer
    x = 916.06

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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.