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Finding the Fourth Proportional to 734.78, 1,102.34 and 214.80

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Solution

The fourth proportional to 734.78, 1,102.34 and 214.80 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.78 : 1,102.34 = 214.80 : x
  2. Step 2: Convert to fraction form
    734.78/1,102.34 = 214.80/x
  3. Step 3: Cross multiply
    734.78x = 1,102.34 × 214.80
  4. Step 4: Simplify right side
    734.78x = 236,782.63
  5. Step 5: Solve for x
    x = 236,782.63/734.78
  6. Step 6: Final answer
    x = 322.25

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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.