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Finding the Fourth Proportional to 866.67, 1,299.12 and 346.53

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Solution

The fourth proportional to 866.67, 1,299.12 and 346.53 is: 519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.67 : 1,299.12 = 346.53 : x
  2. Step 2: Convert to fraction form
    866.67/1,299.12 = 346.53/x
  3. Step 3: Cross multiply
    866.67x = 1,299.12 × 346.53
  4. Step 4: Simplify right side
    866.67x = 450,184.05
  5. Step 5: Solve for x
    x = 450,184.05/866.67
  6. Step 6: Final answer
    x = 519.44

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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.