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Finding the Fourth Proportional to 1,274.91, 1,912.57 and 625.70

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Solution

The fourth proportional to 1,274.91, 1,912.57 and 625.70 is: 938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.91 : 1,912.57 = 625.70 : x
  2. Step 2: Convert to fraction form
    1,274.91/1,912.57 = 625.70/x
  3. Step 3: Cross multiply
    1,274.91x = 1,912.57 × 625.70
  4. Step 4: Simplify right side
    1,274.91x = 1,196,695.05
  5. Step 5: Solve for x
    x = 1,196,695.05/1,274.91
  6. Step 6: Final answer
    x = 938.65

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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.