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Finding the Fourth Proportional to 1,174.65, 1,616.06 and 1,169.19

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Solution

The fourth proportional to 1,174.65, 1,616.06 and 1,169.19 is: 1,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.65 : 1,616.06 = 1,169.19 : x
  2. Step 2: Convert to fraction form
    1,174.65/1,616.06 = 1,169.19/x
  3. Step 3: Cross multiply
    1,174.65x = 1,616.06 × 1,169.19
  4. Step 4: Simplify right side
    1,174.65x = 1,889,475.35
  5. Step 5: Solve for x
    x = 1,889,475.35/1,174.65
  6. Step 6: Final answer
    x = 1,608.54

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Why These Related Problems?

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