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Finding the Fourth Proportional to 732.84, 1,099.25 and 185.01

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Solution

The fourth proportional to 732.84, 1,099.25 and 185.01 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,099.25 = 185.01 : x
  2. Step 2: Convert to fraction form
    732.84/1,099.25 = 185.01/x
  3. Step 3: Cross multiply
    732.84x = 1,099.25 × 185.01
  4. Step 4: Simplify right side
    732.84x = 203,371.32
  5. Step 5: Solve for x
    x = 203,371.32/732.84
  6. Step 6: Final answer
    x = 277.51

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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.