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Finding the Fourth Proportional to 866.63, 1,299.13 and 404.18

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Solution

The fourth proportional to 866.63, 1,299.13 and 404.18 is: 605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,299.13 = 404.18 : x
  2. Step 2: Convert to fraction form
    866.63/1,299.13 = 404.18/x
  3. Step 3: Cross multiply
    866.63x = 1,299.13 × 404.18
  4. Step 4: Simplify right side
    866.63x = 525,074.86
  5. Step 5: Solve for x
    x = 525,074.86/866.63
  6. Step 6: Final answer
    x = 605.88

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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.