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Finding the Fourth Proportional to 918.54, 1,265.90 and 860.09

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Solution

The fourth proportional to 918.54, 1,265.90 and 860.09 is: 1,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,265.90 = 860.09 : x
  2. Step 2: Convert to fraction form
    918.54/1,265.90 = 860.09/x
  3. Step 3: Cross multiply
    918.54x = 1,265.90 × 860.09
  4. Step 4: Simplify right side
    918.54x = 1,088,777.30
  5. Step 5: Solve for x
    x = 1,088,777.30/918.54
  6. Step 6: Final answer
    x = 1,185.33

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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.