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Finding the Fourth Proportional to 1,381.28, 1,906.08 and 760.28

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Solution

The fourth proportional to 1,381.28, 1,906.08 and 760.28 is: 1,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.28 : 1,906.08 = 760.28 : x
  2. Step 2: Convert to fraction form
    1,381.28/1,906.08 = 760.28/x
  3. Step 3: Cross multiply
    1,381.28x = 1,906.08 × 760.28
  4. Step 4: Simplify right side
    1,381.28x = 1,449,154.50
  5. Step 5: Solve for x
    x = 1,449,154.50/1,381.28
  6. Step 6: Final answer
    x = 1,049.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.