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Finding the Fourth Proportional to 719.92, 1,078.80 and 431.02

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Solution

The fourth proportional to 719.92, 1,078.80 and 431.02 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,078.80 = 431.02 : x
  2. Step 2: Convert to fraction form
    719.92/1,078.80 = 431.02/x
  3. Step 3: Cross multiply
    719.92x = 1,078.80 × 431.02
  4. Step 4: Simplify right side
    719.92x = 464,984.38
  5. Step 5: Solve for x
    x = 464,984.38/719.92
  6. Step 6: Final answer
    x = 645.88

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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.