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Finding the Fourth Proportional to 884.76, 1,221.36 and 589.53

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Solution

The fourth proportional to 884.76, 1,221.36 and 589.53 is: 813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.76 : 1,221.36 = 589.53 : x
  2. Step 2: Convert to fraction form
    884.76/1,221.36 = 589.53/x
  3. Step 3: Cross multiply
    884.76x = 1,221.36 × 589.53
  4. Step 4: Simplify right side
    884.76x = 720,028.36
  5. Step 5: Solve for x
    x = 720,028.36/884.76
  6. Step 6: Final answer
    x = 813.81

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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.