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Finding the Fourth Proportional to 687.78, 949.33 and 563.73

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Solution

The fourth proportional to 687.78, 949.33 and 563.73 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.78 : 949.33 = 563.73 : x
  2. Step 2: Convert to fraction form
    687.78/949.33 = 563.73/x
  3. Step 3: Cross multiply
    687.78x = 949.33 × 563.73
  4. Step 4: Simplify right side
    687.78x = 535,166.18
  5. Step 5: Solve for x
    x = 535,166.18/687.78
  6. Step 6: Final answer
    x = 778.11

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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.