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Finding the Fourth Proportional to 1,077.17, 1,616.37 and 609.01

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Solution

The fourth proportional to 1,077.17, 1,616.37 and 609.01 is: 913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.17 : 1,616.37 = 609.01 : x
  2. Step 2: Convert to fraction form
    1,077.17/1,616.37 = 609.01/x
  3. Step 3: Cross multiply
    1,077.17x = 1,616.37 × 609.01
  4. Step 4: Simplify right side
    1,077.17x = 984,379.17
  5. Step 5: Solve for x
    x = 984,379.17/1,077.17
  6. Step 6: Final answer
    x = 913.86

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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.