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Finding the Fourth Proportional to 1,160.26, 1,736.16 and 999.88

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Solution

The fourth proportional to 1,160.26, 1,736.16 and 999.88 is: 1,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.26 : 1,736.16 = 999.88 : x
  2. Step 2: Convert to fraction form
    1,160.26/1,736.16 = 999.88/x
  3. Step 3: Cross multiply
    1,160.26x = 1,736.16 × 999.88
  4. Step 4: Simplify right side
    1,160.26x = 1,735,951.66
  5. Step 5: Solve for x
    x = 1,735,951.66/1,160.26
  6. Step 6: Final answer
    x = 1,496.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.