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Finding the Fourth Proportional to 1,974.79, 2,962.34 and 513.96

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Solution

The fourth proportional to 1,974.79, 2,962.34 and 513.96 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.79 : 2,962.34 = 513.96 : x
  2. Step 2: Convert to fraction form
    1,974.79/2,962.34 = 513.96/x
  3. Step 3: Cross multiply
    1,974.79x = 2,962.34 × 513.96
  4. Step 4: Simplify right side
    1,974.79x = 1,522,524.27
  5. Step 5: Solve for x
    x = 1,522,524.27/1,974.79
  6. Step 6: Final answer
    x = 770.98

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1.5x scale

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.