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Finding the Fourth Proportional to 779.76, 1,166.76 and 522

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Solution

The fourth proportional to 779.76, 1,166.76 and 522 is: 781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,166.76 = 522 : x
  2. Step 2: Convert to fraction form
    779.76/1,166.76 = 522/x
  3. Step 3: Cross multiply
    779.76x = 1,166.76 × 522
  4. Step 4: Simplify right side
    779.76x = 609,048.72
  5. Step 5: Solve for x
    x = 609,048.72/779.76
  6. Step 6: Final answer
    x = 781.07

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