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Finding the Fourth Proportional to 687.24, 1,029.44 and 511.88

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Solution

The fourth proportional to 687.24, 1,029.44 and 511.88 is: 766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.24 : 1,029.44 = 511.88 : x
  2. Step 2: Convert to fraction form
    687.24/1,029.44 = 511.88/x
  3. Step 3: Cross multiply
    687.24x = 1,029.44 × 511.88
  4. Step 4: Simplify right side
    687.24x = 526,945.88
  5. Step 5: Solve for x
    x = 526,945.88/687.24
  6. Step 6: Final answer
    x = 766.76

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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.