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Finding the Fourth Proportional to 734.85, 1,102.46 and 214.88

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Solution

The fourth proportional to 734.85, 1,102.46 and 214.88 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,102.46 = 214.88 : x
  2. Step 2: Convert to fraction form
    734.85/1,102.46 = 214.88/x
  3. Step 3: Cross multiply
    734.85x = 1,102.46 × 214.88
  4. Step 4: Simplify right side
    734.85x = 236,890.02
  5. Step 5: Solve for x
    x = 236,890.02/734.85
  6. Step 6: Final answer
    x = 322.37

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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.