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Finding the Fourth Proportional to 919.24, 1,378.14 and 486.16

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Solution

The fourth proportional to 919.24, 1,378.14 and 486.16 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.24 : 1,378.14 = 486.16 : x
  2. Step 2: Convert to fraction form
    919.24/1,378.14 = 486.16/x
  3. Step 3: Cross multiply
    919.24x = 1,378.14 × 486.16
  4. Step 4: Simplify right side
    919.24x = 669,996.54
  5. Step 5: Solve for x
    x = 669,996.54/919.24
  6. Step 6: Final answer
    x = 728.86

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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.