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Finding the Fourth Proportional to 1,865.97, 2,799.35 and 770.42

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Solution

The fourth proportional to 1,865.97, 2,799.35 and 770.42 is: 1,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.97 : 2,799.35 = 770.42 : x
  2. Step 2: Convert to fraction form
    1,865.97/2,799.35 = 770.42/x
  3. Step 3: Cross multiply
    1,865.97x = 2,799.35 × 770.42
  4. Step 4: Simplify right side
    1,865.97x = 2,156,657.38
  5. Step 5: Solve for x
    x = 2,156,657.38/1,865.97
  6. Step 6: Final answer
    x = 1,155.78

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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.