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Finding the Fourth Proportional to 1,292.68, 1,938.96 and 427

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Solution

The fourth proportional to 1,292.68, 1,938.96 and 427 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.68 : 1,938.96 = 427 : x
  2. Step 2: Convert to fraction form
    1,292.68/1,938.96 = 427/x
  3. Step 3: Cross multiply
    1,292.68x = 1,938.96 × 427
  4. Step 4: Simplify right side
    1,292.68x = 827,935.92
  5. Step 5: Solve for x
    x = 827,935.92/1,292.68
  6. Step 6: Final answer
    x = 640.48

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Double scale
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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.