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Finding the Fourth Proportional to 730.29, 1,094.26 and 498.38

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Solution

The fourth proportional to 730.29, 1,094.26 and 498.38 is: 746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.29 : 1,094.26 = 498.38 : x
  2. Step 2: Convert to fraction form
    730.29/1,094.26 = 498.38/x
  3. Step 3: Cross multiply
    730.29x = 1,094.26 × 498.38
  4. Step 4: Simplify right side
    730.29x = 545,354.59
  5. Step 5: Solve for x
    x = 545,354.59/730.29
  6. Step 6: Final answer
    x = 746.76

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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.