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Finding the Fourth Proportional to 736.37, 1,102.60 and 589.43

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Solution

The fourth proportional to 736.37, 1,102.60 and 589.43 is: 882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.37 : 1,102.60 = 589.43 : x
  2. Step 2: Convert to fraction form
    736.37/1,102.60 = 589.43/x
  3. Step 3: Cross multiply
    736.37x = 1,102.60 × 589.43
  4. Step 4: Simplify right side
    736.37x = 649,905.52
  5. Step 5: Solve for x
    x = 649,905.52/736.37
  6. Step 6: Final answer
    x = 882.58

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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.