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Finding the Fourth Proportional to 3,078.78, 4,618.14 and 770.28

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Solution

The fourth proportional to 3,078.78, 4,618.14 and 770.28 is: 1,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.78 : 4,618.14 = 770.28 : x
  2. Step 2: Convert to fraction form
    3,078.78/4,618.14 = 770.28/x
  3. Step 3: Cross multiply
    3,078.78x = 4,618.14 × 770.28
  4. Step 4: Simplify right side
    3,078.78x = 3,557,260.88
  5. Step 5: Solve for x
    x = 3,557,260.88/3,078.78
  6. Step 6: Final answer
    x = 1,155.41

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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.