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Finding the Fourth Proportional to 936.98, 1,293.55 and 564.05

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Solution

The fourth proportional to 936.98, 1,293.55 and 564.05 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.98 : 1,293.55 = 564.05 : x
  2. Step 2: Convert to fraction form
    936.98/1,293.55 = 564.05/x
  3. Step 3: Cross multiply
    936.98x = 1,293.55 × 564.05
  4. Step 4: Simplify right side
    936.98x = 729,624.60
  5. Step 5: Solve for x
    x = 729,624.60/936.98
  6. Step 6: Final answer
    x = 778.69

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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.