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Finding the Fourth Proportional to 1,171.44, 1,606.32 and 1,130.22

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Solution

The fourth proportional to 1,171.44, 1,606.32 and 1,130.22 is: 1,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.44 : 1,606.32 = 1,130.22 : x
  2. Step 2: Convert to fraction form
    1,171.44/1,606.32 = 1,130.22/x
  3. Step 3: Cross multiply
    1,171.44x = 1,606.32 × 1,130.22
  4. Step 4: Simplify right side
    1,171.44x = 1,815,494.99
  5. Step 5: Solve for x
    x = 1,815,494.99/1,171.44
  6. Step 6: Final answer
    x = 1,549.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.