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Finding the Fourth Proportional to 1,175.63, 1,620.13 and 860.99

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Solution

The fourth proportional to 1,175.63, 1,620.13 and 860.99 is: 1,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.63 : 1,620.13 = 860.99 : x
  2. Step 2: Convert to fraction form
    1,175.63/1,620.13 = 860.99/x
  3. Step 3: Cross multiply
    1,175.63x = 1,620.13 × 860.99
  4. Step 4: Simplify right side
    1,175.63x = 1,394,915.73
  5. Step 5: Solve for x
    x = 1,394,915.73/1,175.63
  6. Step 6: Final answer
    x = 1,186.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.