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Finding the Fourth Proportional to 719.99, 1,079.24 and 394.67

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Solution

The fourth proportional to 719.99, 1,079.24 and 394.67 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.99 : 1,079.24 = 394.67 : x
  2. Step 2: Convert to fraction form
    719.99/1,079.24 = 394.67/x
  3. Step 3: Cross multiply
    719.99x = 1,079.24 × 394.67
  4. Step 4: Simplify right side
    719.99x = 425,936.28
  5. Step 5: Solve for x
    x = 425,936.28/719.99
  6. Step 6: Final answer
    x = 591.59

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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.