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Finding the Fourth Proportional to 1,176.97, 1,767.32 and 935.53

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Solution

The fourth proportional to 1,176.97, 1,767.32 and 935.53 is: 1,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.97 : 1,767.32 = 935.53 : x
  2. Step 2: Convert to fraction form
    1,176.97/1,767.32 = 935.53/x
  3. Step 3: Cross multiply
    1,176.97x = 1,767.32 × 935.53
  4. Step 4: Simplify right side
    1,176.97x = 1,653,380.88
  5. Step 5: Solve for x
    x = 1,653,380.88/1,176.97
  6. Step 6: Final answer
    x = 1,404.78

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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.