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Finding the Fourth Proportional to 732.01, 1,097.84 and 211.89

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Solution

The fourth proportional to 732.01, 1,097.84 and 211.89 is: 317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.01 : 1,097.84 = 211.89 : x
  2. Step 2: Convert to fraction form
    732.01/1,097.84 = 211.89/x
  3. Step 3: Cross multiply
    732.01x = 1,097.84 × 211.89
  4. Step 4: Simplify right side
    732.01x = 232,625.96
  5. Step 5: Solve for x
    x = 232,625.96/732.01
  6. Step 6: Final answer
    x = 317.79

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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.