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Finding the Fourth Proportional to 1,169.57, 1,614.03 and 645.65

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Solution

The fourth proportional to 1,169.57, 1,614.03 and 645.65 is: 891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.57 : 1,614.03 = 645.65 : x
  2. Step 2: Convert to fraction form
    1,169.57/1,614.03 = 645.65/x
  3. Step 3: Cross multiply
    1,169.57x = 1,614.03 × 645.65
  4. Step 4: Simplify right side
    1,169.57x = 1,042,098.47
  5. Step 5: Solve for x
    x = 1,042,098.47/1,169.57
  6. Step 6: Final answer
    x = 891.01

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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.