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Finding the Fourth Proportional to 736.04, 1,101.95 and 563.41

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Solution

The fourth proportional to 736.04, 1,101.95 and 563.41 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.04 : 1,101.95 = 563.41 : x
  2. Step 2: Convert to fraction form
    736.04/1,101.95 = 563.41/x
  3. Step 3: Cross multiply
    736.04x = 1,101.95 × 563.41
  4. Step 4: Simplify right side
    736.04x = 620,847.29
  5. Step 5: Solve for x
    x = 620,847.29/736.04
  6. Step 6: Final answer
    x = 843.50

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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.