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Finding the Fourth Proportional to 1,169.65, 1,613.42 and 920.59

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Solution

The fourth proportional to 1,169.65, 1,613.42 and 920.59 is: 1,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.65 : 1,613.42 = 920.59 : x
  2. Step 2: Convert to fraction form
    1,169.65/1,613.42 = 920.59/x
  3. Step 3: Cross multiply
    1,169.65x = 1,613.42 × 920.59
  4. Step 4: Simplify right side
    1,169.65x = 1,485,293.71
  5. Step 5: Solve for x
    x = 1,485,293.71/1,169.65
  6. Step 6: Final answer
    x = 1,269.86

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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.