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Finding the Fourth Proportional to 1,268.12, 1,902.17 and 343.67

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Solution

The fourth proportional to 1,268.12, 1,902.17 and 343.67 is: 515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.12 : 1,902.17 = 343.67 : x
  2. Step 2: Convert to fraction form
    1,268.12/1,902.17 = 343.67/x
  3. Step 3: Cross multiply
    1,268.12x = 1,902.17 × 343.67
  4. Step 4: Simplify right side
    1,268.12x = 653,724.38
  5. Step 5: Solve for x
    x = 653,724.38/1,268.12
  6. Step 6: Final answer
    x = 515.51

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Double scale
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Similar ratio
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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.