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Finding the Fourth Proportional to 1,160.82, 1,601.35 and 688.51

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Solution

The fourth proportional to 1,160.82, 1,601.35 and 688.51 is: 949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,601.35 = 688.51 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,601.35 = 688.51/x
  3. Step 3: Cross multiply
    1,160.82x = 1,601.35 × 688.51
  4. Step 4: Simplify right side
    1,160.82x = 1,102,540.31
  5. Step 5: Solve for x
    x = 1,102,540.31/1,160.82
  6. Step 6: Final answer
    x = 949.80

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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.