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Finding the Fourth Proportional to 734.99, 1,102.23 and 214.86

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Solution

The fourth proportional to 734.99, 1,102.23 and 214.86 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.99 : 1,102.23 = 214.86 : x
  2. Step 2: Convert to fraction form
    734.99/1,102.23 = 214.86/x
  3. Step 3: Cross multiply
    734.99x = 1,102.23 × 214.86
  4. Step 4: Simplify right side
    734.99x = 236,824.33
  5. Step 5: Solve for x
    x = 236,824.33/734.99
  6. Step 6: Final answer
    x = 322.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.