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Finding the Fourth Proportional to 736.44, 1,104.48 and 461.52

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Solution

The fourth proportional to 736.44, 1,104.48 and 461.52 is: 692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.44 : 1,104.48 = 461.52 : x
  2. Step 2: Convert to fraction form
    736.44/1,104.48 = 461.52/x
  3. Step 3: Cross multiply
    736.44x = 1,104.48 × 461.52
  4. Step 4: Simplify right side
    736.44x = 509,739.61
  5. Step 5: Solve for x
    x = 509,739.61/736.44
  6. Step 6: Final answer
    x = 692.17

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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.