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Finding the Fourth Proportional to 867.06, 1,299.57 and 379.57

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Solution

The fourth proportional to 867.06, 1,299.57 and 379.57 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.06 : 1,299.57 = 379.57 : x
  2. Step 2: Convert to fraction form
    867.06/1,299.57 = 379.57/x
  3. Step 3: Cross multiply
    867.06x = 1,299.57 × 379.57
  4. Step 4: Simplify right side
    867.06x = 493,277.78
  5. Step 5: Solve for x
    x = 493,277.78/867.06
  6. Step 6: Final answer
    x = 568.91

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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.