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Finding the Fourth Proportional to 719.63, 1,078.72 and 329.77

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Solution

The fourth proportional to 719.63, 1,078.72 and 329.77 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.63 : 1,078.72 = 329.77 : x
  2. Step 2: Convert to fraction form
    719.63/1,078.72 = 329.77/x
  3. Step 3: Cross multiply
    719.63x = 1,078.72 × 329.77
  4. Step 4: Simplify right side
    719.63x = 355,730.02
  5. Step 5: Solve for x
    x = 355,730.02/719.63
  6. Step 6: Final answer
    x = 494.32

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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.