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Finding the Fourth Proportional to 701.04, 1,051.44 and 213.99

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Solution

The fourth proportional to 701.04, 1,051.44 and 213.99 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.04 : 1,051.44 = 213.99 : x
  2. Step 2: Convert to fraction form
    701.04/1,051.44 = 213.99/x
  3. Step 3: Cross multiply
    701.04x = 1,051.44 × 213.99
  4. Step 4: Simplify right side
    701.04x = 224,997.65
  5. Step 5: Solve for x
    x = 224,997.65/701.04
  6. Step 6: Final answer
    x = 320.95

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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.