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Finding the Fourth Proportional to 719.71, 1,079.47 and 329.59

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Solution

The fourth proportional to 719.71, 1,079.47 and 329.59 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.71 : 1,079.47 = 329.59 : x
  2. Step 2: Convert to fraction form
    719.71/1,079.47 = 329.59/x
  3. Step 3: Cross multiply
    719.71x = 1,079.47 × 329.59
  4. Step 4: Simplify right side
    719.71x = 355,782.52
  5. Step 5: Solve for x
    x = 355,782.52/719.71
  6. Step 6: Final answer
    x = 494.34

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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.