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Finding the Fourth Proportional to 730.18, 1,094.92 and 340.09

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Solution

The fourth proportional to 730.18, 1,094.92 and 340.09 is: 509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,094.92 = 340.09 : x
  2. Step 2: Convert to fraction form
    730.18/1,094.92 = 340.09/x
  3. Step 3: Cross multiply
    730.18x = 1,094.92 × 340.09
  4. Step 4: Simplify right side
    730.18x = 372,370.83
  5. Step 5: Solve for x
    x = 372,370.83/730.18
  6. Step 6: Final answer
    x = 509.97

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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.