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Finding the Fourth Proportional to 701.65, 1,052.10 and 214.57

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Solution

The fourth proportional to 701.65, 1,052.10 and 214.57 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 1,052.10 = 214.57 : x
  2. Step 2: Convert to fraction form
    701.65/1,052.10 = 214.57/x
  3. Step 3: Cross multiply
    701.65x = 1,052.10 × 214.57
  4. Step 4: Simplify right side
    701.65x = 225,748.84
  5. Step 5: Solve for x
    x = 225,748.84/701.65
  6. Step 6: Final answer
    x = 321.74

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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.