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Finding the Fourth Proportional to 950.75, 1,423.85 and 872.84

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Solution

The fourth proportional to 950.75, 1,423.85 and 872.84 is: 1,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.75 : 1,423.85 = 872.84 : x
  2. Step 2: Convert to fraction form
    950.75/1,423.85 = 872.84/x
  3. Step 3: Cross multiply
    950.75x = 1,423.85 × 872.84
  4. Step 4: Simplify right side
    950.75x = 1,242,792.43
  5. Step 5: Solve for x
    x = 1,242,792.43/950.75
  6. Step 6: Final answer
    x = 1,307.17

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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.