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Finding the Fourth Proportional to 867.10, 1,299.78 and 380.02

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Solution

The fourth proportional to 867.10, 1,299.78 and 380.02 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.10 : 1,299.78 = 380.02 : x
  2. Step 2: Convert to fraction form
    867.10/1,299.78 = 380.02/x
  3. Step 3: Cross multiply
    867.10x = 1,299.78 × 380.02
  4. Step 4: Simplify right side
    867.10x = 493,942.40
  5. Step 5: Solve for x
    x = 493,942.40/867.10
  6. Step 6: Final answer
    x = 569.65

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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.