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Finding the Fourth Proportional to 894.78, 1,342.56 and 510

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Solution

The fourth proportional to 894.78, 1,342.56 and 510 is: 765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.78 : 1,342.56 = 510 : x
  2. Step 2: Convert to fraction form
    894.78/1,342.56 = 510/x
  3. Step 3: Cross multiply
    894.78x = 1,342.56 × 510
  4. Step 4: Simplify right side
    894.78x = 684,705.60
  5. Step 5: Solve for x
    x = 684,705.60/894.78
  6. Step 6: Final answer
    x = 765.22

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