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Finding the Fourth Proportional to 730.52, 1,094.42 and 496.14

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Solution

The fourth proportional to 730.52, 1,094.42 and 496.14 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,094.42 = 496.14 : x
  2. Step 2: Convert to fraction form
    730.52/1,094.42 = 496.14/x
  3. Step 3: Cross multiply
    730.52x = 1,094.42 × 496.14
  4. Step 4: Simplify right side
    730.52x = 542,985.54
  5. Step 5: Solve for x
    x = 542,985.54/730.52
  6. Step 6: Final answer
    x = 743.29

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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.