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Finding the Fourth Proportional to 950.94, 1,423.98 and 805.14

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Solution

The fourth proportional to 950.94, 1,423.98 and 805.14 is: 1,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,423.98 = 805.14 : x
  2. Step 2: Convert to fraction form
    950.94/1,423.98 = 805.14/x
  3. Step 3: Cross multiply
    950.94x = 1,423.98 × 805.14
  4. Step 4: Simplify right side
    950.94x = 1,146,503.26
  5. Step 5: Solve for x
    x = 1,146,503.26/950.94
  6. Step 6: Final answer
    x = 1,205.65

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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.