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Finding the Fourth Proportional to 884.31, 1,220.63 and 589.67

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Solution

The fourth proportional to 884.31, 1,220.63 and 589.67 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.31 : 1,220.63 = 589.67 : x
  2. Step 2: Convert to fraction form
    884.31/1,220.63 = 589.67/x
  3. Step 3: Cross multiply
    884.31x = 1,220.63 × 589.67
  4. Step 4: Simplify right side
    884.31x = 719,768.89
  5. Step 5: Solve for x
    x = 719,768.89/884.31
  6. Step 6: Final answer
    x = 813.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.