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Finding the Fourth Proportional to 719.99, 1,079.76 and 281.22

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Solution

The fourth proportional to 719.99, 1,079.76 and 281.22 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.99 : 1,079.76 = 281.22 : x
  2. Step 2: Convert to fraction form
    719.99/1,079.76 = 281.22/x
  3. Step 3: Cross multiply
    719.99x = 1,079.76 × 281.22
  4. Step 4: Simplify right side
    719.99x = 303,650.11
  5. Step 5: Solve for x
    x = 303,650.11/719.99
  6. Step 6: Final answer
    x = 421.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.