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Finding the Fourth Proportional to 778.80, 1,076.29 and 638.70

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Solution

The fourth proportional to 778.80, 1,076.29 and 638.70 is: 882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.80 : 1,076.29 = 638.70 : x
  2. Step 2: Convert to fraction form
    778.80/1,076.29 = 638.70/x
  3. Step 3: Cross multiply
    778.80x = 1,076.29 × 638.70
  4. Step 4: Simplify right side
    778.80x = 687,426.42
  5. Step 5: Solve for x
    x = 687,426.42/778.80
  6. Step 6: Final answer
    x = 882.67

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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.