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Finding the Fourth Proportional to 919.36, 1,268.76 and 541.45

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Solution

The fourth proportional to 919.36, 1,268.76 and 541.45 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,268.76 = 541.45 : x
  2. Step 2: Convert to fraction form
    919.36/1,268.76 = 541.45/x
  3. Step 3: Cross multiply
    919.36x = 1,268.76 × 541.45
  4. Step 4: Simplify right side
    919.36x = 686,970.10
  5. Step 5: Solve for x
    x = 686,970.10/919.36
  6. Step 6: Final answer
    x = 747.23

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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.