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Finding the Fourth Proportional to 730.28, 1,094.19 and 513.47

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Solution

The fourth proportional to 730.28, 1,094.19 and 513.47 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.28 : 1,094.19 = 513.47 : x
  2. Step 2: Convert to fraction form
    730.28/1,094.19 = 513.47/x
  3. Step 3: Cross multiply
    730.28x = 1,094.19 × 513.47
  4. Step 4: Simplify right side
    730.28x = 561,828.27
  5. Step 5: Solve for x
    x = 561,828.27/730.28
  6. Step 6: Final answer
    x = 769.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.