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Finding the Fourth Proportional to 830.82, 1,246.58 and 649.71

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Solution

The fourth proportional to 830.82, 1,246.58 and 649.71 is: 974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,246.58 = 649.71 : x
  2. Step 2: Convert to fraction form
    830.82/1,246.58 = 649.71/x
  3. Step 3: Cross multiply
    830.82x = 1,246.58 × 649.71
  4. Step 4: Simplify right side
    830.82x = 809,912.24
  5. Step 5: Solve for x
    x = 809,912.24/830.82
  6. Step 6: Final answer
    x = 974.83

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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.