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Finding the Fourth Proportional to 1,173.60, 1,616.29 and 1,148.09

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Solution

The fourth proportional to 1,173.60, 1,616.29 and 1,148.09 is: 1,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.60 : 1,616.29 = 1,148.09 : x
  2. Step 2: Convert to fraction form
    1,173.60/1,616.29 = 1,148.09/x
  3. Step 3: Cross multiply
    1,173.60x = 1,616.29 × 1,148.09
  4. Step 4: Simplify right side
    1,173.60x = 1,855,635.43
  5. Step 5: Solve for x
    x = 1,855,635.43/1,173.60
  6. Step 6: Final answer
    x = 1,581.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.