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Finding the Fourth Proportional to 1,178.54, 1,767.82 and 408.50

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Solution

The fourth proportional to 1,178.54, 1,767.82 and 408.50 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.54 : 1,767.82 = 408.50 : x
  2. Step 2: Convert to fraction form
    1,178.54/1,767.82 = 408.50/x
  3. Step 3: Cross multiply
    1,178.54x = 1,767.82 × 408.50
  4. Step 4: Simplify right side
    1,178.54x = 722,154.47
  5. Step 5: Solve for x
    x = 722,154.47/1,178.54
  6. Step 6: Final answer
    x = 612.75

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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.