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Finding the Fourth Proportional to 1,178.25, 1,767.69 and 408.75

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Solution

The fourth proportional to 1,178.25, 1,767.69 and 408.75 is: 613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.25 : 1,767.69 = 408.75 : x
  2. Step 2: Convert to fraction form
    1,178.25/1,767.69 = 408.75/x
  3. Step 3: Cross multiply
    1,178.25x = 1,767.69 × 408.75
  4. Step 4: Simplify right side
    1,178.25x = 722,543.29
  5. Step 5: Solve for x
    x = 722,543.29/1,178.25
  6. Step 6: Final answer
    x = 613.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.