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Finding the Fourth Proportional to 736.49, 1,102.79 and 589.56

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Solution

The fourth proportional to 736.49, 1,102.79 and 589.56 is: 882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.49 : 1,102.79 = 589.56 : x
  2. Step 2: Convert to fraction form
    736.49/1,102.79 = 589.56/x
  3. Step 3: Cross multiply
    736.49x = 1,102.79 × 589.56
  4. Step 4: Simplify right side
    736.49x = 650,158.21
  5. Step 5: Solve for x
    x = 650,158.21/736.49
  6. Step 6: Final answer
    x = 882.78

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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.