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Finding the Fourth Proportional to 996.70, 1,494.48 and 564.16

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Solution

The fourth proportional to 996.70, 1,494.48 and 564.16 is: 845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.70 : 1,494.48 = 564.16 : x
  2. Step 2: Convert to fraction form
    996.70/1,494.48 = 564.16/x
  3. Step 3: Cross multiply
    996.70x = 1,494.48 × 564.16
  4. Step 4: Simplify right side
    996.70x = 843,125.84
  5. Step 5: Solve for x
    x = 843,125.84/996.70
  6. Step 6: Final answer
    x = 845.92

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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.