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Finding the Fourth Proportional to 1,178.08, 1,767.08 and 447.63

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Solution

The fourth proportional to 1,178.08, 1,767.08 and 447.63 is: 671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.08 : 1,767.08 = 447.63 : x
  2. Step 2: Convert to fraction form
    1,178.08/1,767.08 = 447.63/x
  3. Step 3: Cross multiply
    1,178.08x = 1,767.08 × 447.63
  4. Step 4: Simplify right side
    1,178.08x = 790,992.51
  5. Step 5: Solve for x
    x = 790,992.51/1,178.08
  6. Step 6: Final answer
    x = 671.43

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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.