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Finding the Fourth Proportional to 773.20, 1,156.36 and 687.10

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Solution

The fourth proportional to 773.20, 1,156.36 and 687.10 is: 1,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.20 : 1,156.36 = 687.10 : x
  2. Step 2: Convert to fraction form
    773.20/1,156.36 = 687.10/x
  3. Step 3: Cross multiply
    773.20x = 1,156.36 × 687.10
  4. Step 4: Simplify right side
    773.20x = 794,534.96
  5. Step 5: Solve for x
    x = 794,534.96/773.20
  6. Step 6: Final answer
    x = 1,027.59

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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.