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Finding the Fourth Proportional to 1,574.75, 2,360.46 and 533.75

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Solution

The fourth proportional to 1,574.75, 2,360.46 and 533.75 is: 800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.75 : 2,360.46 = 533.75 : x
  2. Step 2: Convert to fraction form
    1,574.75/2,360.46 = 533.75/x
  3. Step 3: Cross multiply
    1,574.75x = 2,360.46 × 533.75
  4. Step 4: Simplify right side
    1,574.75x = 1,259,895.53
  5. Step 5: Solve for x
    x = 1,259,895.53/1,574.75
  6. Step 6: Final answer
    x = 800.06

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