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Finding the Fourth Proportional to 730.10, 1,094.70 and 496.11

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Solution

The fourth proportional to 730.10, 1,094.70 and 496.11 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,094.70 = 496.11 : x
  2. Step 2: Convert to fraction form
    730.10/1,094.70 = 496.11/x
  3. Step 3: Cross multiply
    730.10x = 1,094.70 × 496.11
  4. Step 4: Simplify right side
    730.10x = 543,091.62
  5. Step 5: Solve for x
    x = 543,091.62/730.10
  6. Step 6: Final answer
    x = 743.86

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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.