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Finding the Fourth Proportional to 730.31, 1,094.09 and 567.23

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Solution

The fourth proportional to 730.31, 1,094.09 and 567.23 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.31 : 1,094.09 = 567.23 : x
  2. Step 2: Convert to fraction form
    730.31/1,094.09 = 567.23/x
  3. Step 3: Cross multiply
    730.31x = 1,094.09 × 567.23
  4. Step 4: Simplify right side
    730.31x = 620,592.36
  5. Step 5: Solve for x
    x = 620,592.36/730.31
  6. Step 6: Final answer
    x = 849.77

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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.