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Finding the Fourth Proportional to 884.04, 1,220.40 and 589.56

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Solution

The fourth proportional to 884.04, 1,220.40 and 589.56 is: 813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,220.40 = 589.56 : x
  2. Step 2: Convert to fraction form
    884.04/1,220.40 = 589.56/x
  3. Step 3: Cross multiply
    884.04x = 1,220.40 × 589.56
  4. Step 4: Simplify right side
    884.04x = 719,499.02
  5. Step 5: Solve for x
    x = 719,499.02/884.04
  6. Step 6: Final answer
    x = 813.88

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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.