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Finding the Fourth Proportional to 919.60, 1,269.06 and 546.45

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Solution

The fourth proportional to 919.60, 1,269.06 and 546.45 is: 754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,269.06 = 546.45 : x
  2. Step 2: Convert to fraction form
    919.60/1,269.06 = 546.45/x
  3. Step 3: Cross multiply
    919.60x = 1,269.06 × 546.45
  4. Step 4: Simplify right side
    919.60x = 693,477.84
  5. Step 5: Solve for x
    x = 693,477.84/919.60
  6. Step 6: Final answer
    x = 754.11

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