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Finding the Fourth Proportional to 732.13, 1,097.94 and 211.99

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Solution

The fourth proportional to 732.13, 1,097.94 and 211.99 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.13 : 1,097.94 = 211.99 : x
  2. Step 2: Convert to fraction form
    732.13/1,097.94 = 211.99/x
  3. Step 3: Cross multiply
    732.13x = 1,097.94 × 211.99
  4. Step 4: Simplify right side
    732.13x = 232,754.01
  5. Step 5: Solve for x
    x = 232,754.01/732.13
  6. Step 6: Final answer
    x = 317.91

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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.