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Finding the Fourth Proportional to 1,178.41, 1,767.70 and 398.49

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Solution

The fourth proportional to 1,178.41, 1,767.70 and 398.49 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.41 : 1,767.70 = 398.49 : x
  2. Step 2: Convert to fraction form
    1,178.41/1,767.70 = 398.49/x
  3. Step 3: Cross multiply
    1,178.41x = 1,767.70 × 398.49
  4. Step 4: Simplify right side
    1,178.41x = 704,414.59
  5. Step 5: Solve for x
    x = 704,414.59/1,178.41
  6. Step 6: Final answer
    x = 597.77

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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.