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Finding the Fourth Proportional to 719.52, 1,078.29 and 329.03

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Solution

The fourth proportional to 719.52, 1,078.29 and 329.03 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 1,078.29 = 329.03 : x
  2. Step 2: Convert to fraction form
    719.52/1,078.29 = 329.03/x
  3. Step 3: Cross multiply
    719.52x = 1,078.29 × 329.03
  4. Step 4: Simplify right side
    719.52x = 354,789.76
  5. Step 5: Solve for x
    x = 354,789.76/719.52
  6. Step 6: Final answer
    x = 493.10

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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.