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Finding the Fourth Proportional to 1,286.36, 1,930.32 and 637.12

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Solution

The fourth proportional to 1,286.36, 1,930.32 and 637.12 is: 956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.36 : 1,930.32 = 637.12 : x
  2. Step 2: Convert to fraction form
    1,286.36/1,930.32 = 637.12/x
  3. Step 3: Cross multiply
    1,286.36x = 1,930.32 × 637.12
  4. Step 4: Simplify right side
    1,286.36x = 1,229,845.48
  5. Step 5: Solve for x
    x = 1,229,845.48/1,286.36
  6. Step 6: Final answer
    x = 956.07

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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.