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Finding the Fourth Proportional to 1,085.82, 1,630.80 and 675.72

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Solution

The fourth proportional to 1,085.82, 1,630.80 and 675.72 is: 1,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.82 : 1,630.80 = 675.72 : x
  2. Step 2: Convert to fraction form
    1,085.82/1,630.80 = 675.72/x
  3. Step 3: Cross multiply
    1,085.82x = 1,630.80 × 675.72
  4. Step 4: Simplify right side
    1,085.82x = 1,101,964.18
  5. Step 5: Solve for x
    x = 1,101,964.18/1,085.82
  6. Step 6: Final answer
    x = 1,014.87

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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.