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Finding the Fourth Proportional to 719.21, 1,079.18 and 475.67

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Solution

The fourth proportional to 719.21, 1,079.18 and 475.67 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.21 : 1,079.18 = 475.67 : x
  2. Step 2: Convert to fraction form
    719.21/1,079.18 = 475.67/x
  3. Step 3: Cross multiply
    719.21x = 1,079.18 × 475.67
  4. Step 4: Simplify right side
    719.21x = 513,335.65
  5. Step 5: Solve for x
    x = 513,335.65/719.21
  6. Step 6: Final answer
    x = 713.75

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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.