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Finding the Fourth Proportional to 735.87, 1,102.39 and 589.94

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Solution

The fourth proportional to 735.87, 1,102.39 and 589.94 is: 883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.87 : 1,102.39 = 589.94 : x
  2. Step 2: Convert to fraction form
    735.87/1,102.39 = 589.94/x
  3. Step 3: Cross multiply
    735.87x = 1,102.39 × 589.94
  4. Step 4: Simplify right side
    735.87x = 650,343.96
  5. Step 5: Solve for x
    x = 650,343.96/735.87
  6. Step 6: Final answer
    x = 883.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.