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Finding the Fourth Proportional to 1,178.98, 1,767.63 and 447.94

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Solution

The fourth proportional to 1,178.98, 1,767.63 and 447.94 is: 671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.98 : 1,767.63 = 447.94 : x
  2. Step 2: Convert to fraction form
    1,178.98/1,767.63 = 447.94/x
  3. Step 3: Cross multiply
    1,178.98x = 1,767.63 × 447.94
  4. Step 4: Simplify right side
    1,178.98x = 791,792.18
  5. Step 5: Solve for x
    x = 791,792.18/1,178.98
  6. Step 6: Final answer
    x = 671.59

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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.