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Finding the Fourth Proportional to 949.82, 1,423.66 and 717.95

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Solution

The fourth proportional to 949.82, 1,423.66 and 717.95 is: 1,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.82 : 1,423.66 = 717.95 : x
  2. Step 2: Convert to fraction form
    949.82/1,423.66 = 717.95/x
  3. Step 3: Cross multiply
    949.82x = 1,423.66 × 717.95
  4. Step 4: Simplify right side
    949.82x = 1,022,113.11
  5. Step 5: Solve for x
    x = 1,022,113.11/949.82
  6. Step 6: Final answer
    x = 1,076.12

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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.