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Finding the Fourth Proportional to 719.23, 1,078.41 and 353.56

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Solution

The fourth proportional to 719.23, 1,078.41 and 353.56 is: 530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.23 : 1,078.41 = 353.56 : x
  2. Step 2: Convert to fraction form
    719.23/1,078.41 = 353.56/x
  3. Step 3: Cross multiply
    719.23x = 1,078.41 × 353.56
  4. Step 4: Simplify right side
    719.23x = 381,282.64
  5. Step 5: Solve for x
    x = 381,282.64/719.23
  6. Step 6: Final answer
    x = 530.13

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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.