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Finding the Fourth Proportional to 836.70, 1,251.21 and 740.70

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Solution

The fourth proportional to 836.70, 1,251.21 and 740.70 is: 1,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.70 : 1,251.21 = 740.70 : x
  2. Step 2: Convert to fraction form
    836.70/1,251.21 = 740.70/x
  3. Step 3: Cross multiply
    836.70x = 1,251.21 × 740.70
  4. Step 4: Simplify right side
    836.70x = 926,771.25
  5. Step 5: Solve for x
    x = 926,771.25/836.70
  6. Step 6: Final answer
    x = 1,107.65

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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.