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Finding the Fourth Proportional to 3,074.27, 4,611.40 and 765.77

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Solution

The fourth proportional to 3,074.27, 4,611.40 and 765.77 is: 1,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.27 : 4,611.40 = 765.77 : x
  2. Step 2: Convert to fraction form
    3,074.27/4,611.40 = 765.77/x
  3. Step 3: Cross multiply
    3,074.27x = 4,611.40 × 765.77
  4. Step 4: Simplify right side
    3,074.27x = 3,531,267.95
  5. Step 5: Solve for x
    x = 3,531,267.95/3,074.27
  6. Step 6: Final answer
    x = 1,148.65

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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.