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Finding the Fourth Proportional to 730.54, 1,006.41 and 509.09

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Solution

The fourth proportional to 730.54, 1,006.41 and 509.09 is: 701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.54 : 1,006.41 = 509.09 : x
  2. Step 2: Convert to fraction form
    730.54/1,006.41 = 509.09/x
  3. Step 3: Cross multiply
    730.54x = 1,006.41 × 509.09
  4. Step 4: Simplify right side
    730.54x = 512,353.27
  5. Step 5: Solve for x
    x = 512,353.27/730.54
  6. Step 6: Final answer
    x = 701.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.