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Finding the Fourth Proportional to 1,176.84, 1,766.06 and 629.42

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Solution

The fourth proportional to 1,176.84, 1,766.06 and 629.42 is: 944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.84 : 1,766.06 = 629.42 : x
  2. Step 2: Convert to fraction form
    1,176.84/1,766.06 = 629.42/x
  3. Step 3: Cross multiply
    1,176.84x = 1,766.06 × 629.42
  4. Step 4: Simplify right side
    1,176.84x = 1,111,593.49
  5. Step 5: Solve for x
    x = 1,111,593.49/1,176.84
  6. Step 6: Final answer
    x = 944.56

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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.