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Finding the Fourth Proportional to 1,311.71, 1,964.30 and 762.23

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Solution

The fourth proportional to 1,311.71, 1,964.30 and 762.23 is: 1,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.71 : 1,964.30 = 762.23 : x
  2. Step 2: Convert to fraction form
    1,311.71/1,964.30 = 762.23/x
  3. Step 3: Cross multiply
    1,311.71x = 1,964.30 × 762.23
  4. Step 4: Simplify right side
    1,311.71x = 1,497,234.76
  5. Step 5: Solve for x
    x = 1,497,234.76/1,311.71
  6. Step 6: Final answer
    x = 1,141.44

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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.