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Finding the Fourth Proportional to 951.76, 1,423.84 and 678

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Solution

The fourth proportional to 951.76, 1,423.84 and 678 is: 1,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.76 : 1,423.84 = 678 : x
  2. Step 2: Convert to fraction form
    951.76/1,423.84 = 678/x
  3. Step 3: Cross multiply
    951.76x = 1,423.84 × 678
  4. Step 4: Simplify right side
    951.76x = 965,363.52
  5. Step 5: Solve for x
    x = 965,363.52/951.76
  6. Step 6: Final answer
    x = 1,014.29

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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.