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Finding the Fourth Proportional to 734.02, 1,101.04 and 214.07

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Solution

The fourth proportional to 734.02, 1,101.04 and 214.07 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.02 : 1,101.04 = 214.07 : x
  2. Step 2: Convert to fraction form
    734.02/1,101.04 = 214.07/x
  3. Step 3: Cross multiply
    734.02x = 1,101.04 × 214.07
  4. Step 4: Simplify right side
    734.02x = 235,699.63
  5. Step 5: Solve for x
    x = 235,699.63/734.02
  6. Step 6: Final answer
    x = 321.11

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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.