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Finding the Fourth Proportional to 651.96, 978.12 and 456.84

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Solution

The fourth proportional to 651.96, 978.12 and 456.84 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.96 : 978.12 = 456.84 : x
  2. Step 2: Convert to fraction form
    651.96/978.12 = 456.84/x
  3. Step 3: Cross multiply
    651.96x = 978.12 × 456.84
  4. Step 4: Simplify right side
    651.96x = 446,844.34
  5. Step 5: Solve for x
    x = 446,844.34/651.96
  6. Step 6: Final answer
    x = 685.39

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