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Finding the Fourth Proportional to 719.37, 1,079.75 and 446.00

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Solution

The fourth proportional to 719.37, 1,079.75 and 446.00 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.37 : 1,079.75 = 446.00 : x
  2. Step 2: Convert to fraction form
    719.37/1,079.75 = 446.00/x
  3. Step 3: Cross multiply
    719.37x = 1,079.75 × 446.00
  4. Step 4: Simplify right side
    719.37x = 481,560.87
  5. Step 5: Solve for x
    x = 481,560.87/719.37
  6. Step 6: Final answer
    x = 669.42

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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.