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Finding the Fourth Proportional to 732.86, 1,099.14 and 212.75

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Solution

The fourth proportional to 732.86, 1,099.14 and 212.75 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.86 : 1,099.14 = 212.75 : x
  2. Step 2: Convert to fraction form
    732.86/1,099.14 = 212.75/x
  3. Step 3: Cross multiply
    732.86x = 1,099.14 × 212.75
  4. Step 4: Simplify right side
    732.86x = 233,839.86
  5. Step 5: Solve for x
    x = 233,839.86/732.86
  6. Step 6: Final answer
    x = 319.08

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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.