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Finding the Fourth Proportional to 786.06, 1,082.34 and 687.24

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Solution

The fourth proportional to 786.06, 1,082.34 and 687.24 is: 946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,082.34 = 687.24 : x
  2. Step 2: Convert to fraction form
    786.06/1,082.34 = 687.24/x
  3. Step 3: Cross multiply
    786.06x = 1,082.34 × 687.24
  4. Step 4: Simplify right side
    786.06x = 743,827.34
  5. Step 5: Solve for x
    x = 743,827.34/786.06
  6. Step 6: Final answer
    x = 946.27

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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.