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Finding the Fourth Proportional to 778, 1,167.82 and 470.62

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Solution

The fourth proportional to 778, 1,167.82 and 470.62 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778 : 1,167.82 = 470.62 : x
  2. Step 2: Convert to fraction form
    778/1,167.82 = 470.62/x
  3. Step 3: Cross multiply
    778x = 1,167.82 × 470.62
  4. Step 4: Simplify right side
    778x = 549,599.45
  5. Step 5: Solve for x
    x = 549,599.45/778
  6. Step 6: Final answer
    x = 706.43

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