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Finding the Fourth Proportional to 919.15, 1,268.08 and 564.97

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Solution

The fourth proportional to 919.15, 1,268.08 and 564.97 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.15 : 1,268.08 = 564.97 : x
  2. Step 2: Convert to fraction form
    919.15/1,268.08 = 564.97/x
  3. Step 3: Cross multiply
    919.15x = 1,268.08 × 564.97
  4. Step 4: Simplify right side
    919.15x = 716,427.16
  5. Step 5: Solve for x
    x = 716,427.16/919.15
  6. Step 6: Final answer
    x = 779.45

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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.