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Finding the Fourth Proportional to 719.82, 1,078.98 and 280.83

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Solution

The fourth proportional to 719.82, 1,078.98 and 280.83 is: 420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.82 : 1,078.98 = 280.83 : x
  2. Step 2: Convert to fraction form
    719.82/1,078.98 = 280.83/x
  3. Step 3: Cross multiply
    719.82x = 1,078.98 × 280.83
  4. Step 4: Simplify right side
    719.82x = 303,009.95
  5. Step 5: Solve for x
    x = 303,009.95/719.82
  6. Step 6: Final answer
    x = 420.95

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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.