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Finding the Fourth Proportional to 1,284.86, 1,927.24 and 463.05

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Solution

The fourth proportional to 1,284.86, 1,927.24 and 463.05 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.86 : 1,927.24 = 463.05 : x
  2. Step 2: Convert to fraction form
    1,284.86/1,927.24 = 463.05/x
  3. Step 3: Cross multiply
    1,284.86x = 1,927.24 × 463.05
  4. Step 4: Simplify right side
    1,284.86x = 892,407.32
  5. Step 5: Solve for x
    x = 892,407.32/1,284.86
  6. Step 6: Final answer
    x = 694.55

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