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Finding the Fourth Proportional to 949.73, 1,310.14 and 650.90

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Solution

The fourth proportional to 949.73, 1,310.14 and 650.90 is: 897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.73 : 1,310.14 = 650.90 : x
  2. Step 2: Convert to fraction form
    949.73/1,310.14 = 650.90/x
  3. Step 3: Cross multiply
    949.73x = 1,310.14 × 650.90
  4. Step 4: Simplify right side
    949.73x = 852,774.21
  5. Step 5: Solve for x
    x = 852,774.21/949.73
  6. Step 6: Final answer
    x = 897.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.