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Finding the Fourth Proportional to 687.45, 1,029.84 and 548.88

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Solution

The fourth proportional to 687.45, 1,029.84 and 548.88 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.45 : 1,029.84 = 548.88 : x
  2. Step 2: Convert to fraction form
    687.45/1,029.84 = 548.88/x
  3. Step 3: Cross multiply
    687.45x = 1,029.84 × 548.88
  4. Step 4: Simplify right side
    687.45x = 565,258.58
  5. Step 5: Solve for x
    x = 565,258.58/687.45
  6. Step 6: Final answer
    x = 822.25

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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.