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Finding the Fourth Proportional to 919.60, 1,269 and 546.74

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Solution

The fourth proportional to 919.60, 1,269 and 546.74 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,269 = 546.74 : x
  2. Step 2: Convert to fraction form
    919.60/1,269 = 546.74/x
  3. Step 3: Cross multiply
    919.60x = 1,269 × 546.74
  4. Step 4: Simplify right side
    919.60x = 693,813.06
  5. Step 5: Solve for x
    x = 693,813.06/919.60
  6. Step 6: Final answer
    x = 754.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.