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Finding the Fourth Proportional to 951.80, 1,427.70 and 514.40

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Solution

The fourth proportional to 951.80, 1,427.70 and 514.40 is: 771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,427.70 = 514.40 : x
  2. Step 2: Convert to fraction form
    951.80/1,427.70 = 514.40/x
  3. Step 3: Cross multiply
    951.80x = 1,427.70 × 514.40
  4. Step 4: Simplify right side
    951.80x = 734,408.88
  5. Step 5: Solve for x
    x = 734,408.88/951.80
  6. Step 6: Final answer
    x = 771.60

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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.