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Finding the Fourth Proportional to 778.28, 1,164.38 and 614.25

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Solution

The fourth proportional to 778.28, 1,164.38 and 614.25 is: 918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.28 : 1,164.38 = 614.25 : x
  2. Step 2: Convert to fraction form
    778.28/1,164.38 = 614.25/x
  3. Step 3: Cross multiply
    778.28x = 1,164.38 × 614.25
  4. Step 4: Simplify right side
    778.28x = 715,217.34
  5. Step 5: Solve for x
    x = 715,217.34/778.28
  6. Step 6: Final answer
    x = 918.98

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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.