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Finding the Fourth Proportional to 719.44, 1,079.43 and 353.86

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Solution

The fourth proportional to 719.44, 1,079.43 and 353.86 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 1,079.43 = 353.86 : x
  2. Step 2: Convert to fraction form
    719.44/1,079.43 = 353.86/x
  3. Step 3: Cross multiply
    719.44x = 1,079.43 × 353.86
  4. Step 4: Simplify right side
    719.44x = 381,967.10
  5. Step 5: Solve for x
    x = 381,967.10/719.44
  6. Step 6: Final answer
    x = 530.92

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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.