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Finding the Fourth Proportional to 1,174.08, 1,609.72 and 1,153.42

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Solution

The fourth proportional to 1,174.08, 1,609.72 and 1,153.42 is: 1,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.08 : 1,609.72 = 1,153.42 : x
  2. Step 2: Convert to fraction form
    1,174.08/1,609.72 = 1,153.42/x
  3. Step 3: Cross multiply
    1,174.08x = 1,609.72 × 1,153.42
  4. Step 4: Simplify right side
    1,174.08x = 1,856,683.24
  5. Step 5: Solve for x
    x = 1,856,683.24/1,174.08
  6. Step 6: Final answer
    x = 1,581.39

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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.