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Finding the Fourth Proportional to 1,175.88, 1,772.66 and 1,096.62

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Solution

The fourth proportional to 1,175.88, 1,772.66 and 1,096.62 is: 1,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.88 : 1,772.66 = 1,096.62 : x
  2. Step 2: Convert to fraction form
    1,175.88/1,772.66 = 1,096.62/x
  3. Step 3: Cross multiply
    1,175.88x = 1,772.66 × 1,096.62
  4. Step 4: Simplify right side
    1,175.88x = 1,943,934.41
  5. Step 5: Solve for x
    x = 1,943,934.41/1,175.88
  6. Step 6: Final answer
    x = 1,653.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.