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Finding the Fourth Proportional to 866.63, 1,299.71 and 347.01

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Solution

The fourth proportional to 866.63, 1,299.71 and 347.01 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,299.71 = 347.01 : x
  2. Step 2: Convert to fraction form
    866.63/1,299.71 = 347.01/x
  3. Step 3: Cross multiply
    866.63x = 1,299.71 × 347.01
  4. Step 4: Simplify right side
    866.63x = 451,010.63
  5. Step 5: Solve for x
    x = 451,010.63/866.63
  6. Step 6: Final answer
    x = 520.42

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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.