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Finding the Fourth Proportional to 1,507.19, 2,259.97 and 466.75

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Solution

The fourth proportional to 1,507.19, 2,259.97 and 466.75 is: 699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.19 : 2,259.97 = 466.75 : x
  2. Step 2: Convert to fraction form
    1,507.19/2,259.97 = 466.75/x
  3. Step 3: Cross multiply
    1,507.19x = 2,259.97 × 466.75
  4. Step 4: Simplify right side
    1,507.19x = 1,054,832.57
  5. Step 5: Solve for x
    x = 1,054,832.57/1,507.19
  6. Step 6: Final answer
    x = 699.87

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