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Finding the Fourth Proportional to 719.05, 1,076.47 and 546.40

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Solution

The fourth proportional to 719.05, 1,076.47 and 546.40 is: 818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.05 : 1,076.47 = 546.40 : x
  2. Step 2: Convert to fraction form
    719.05/1,076.47 = 546.40/x
  3. Step 3: Cross multiply
    719.05x = 1,076.47 × 546.40
  4. Step 4: Simplify right side
    719.05x = 588,183.21
  5. Step 5: Solve for x
    x = 588,183.21/719.05
  6. Step 6: Final answer
    x = 818.00

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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.