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Finding the Fourth Proportional to 919.06, 1,378.61 and 341.94

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Solution

The fourth proportional to 919.06, 1,378.61 and 341.94 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.06 : 1,378.61 = 341.94 : x
  2. Step 2: Convert to fraction form
    919.06/1,378.61 = 341.94/x
  3. Step 3: Cross multiply
    919.06x = 1,378.61 × 341.94
  4. Step 4: Simplify right side
    919.06x = 471,401.90
  5. Step 5: Solve for x
    x = 471,401.90/919.06
  6. Step 6: Final answer
    x = 512.92

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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.