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Finding the Fourth Proportional to 734.79, 1,102.36 and 214.79

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Solution

The fourth proportional to 734.79, 1,102.36 and 214.79 is: 322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.79 : 1,102.36 = 214.79 : x
  2. Step 2: Convert to fraction form
    734.79/1,102.36 = 214.79/x
  3. Step 3: Cross multiply
    734.79x = 1,102.36 × 214.79
  4. Step 4: Simplify right side
    734.79x = 236,775.90
  5. Step 5: Solve for x
    x = 236,775.90/734.79
  6. Step 6: Final answer
    x = 322.24

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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.