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Finding the Fourth Proportional to 1,319.82, 1,978.29 and 833.10

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Solution

The fourth proportional to 1,319.82, 1,978.29 and 833.10 is: 1,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.82 : 1,978.29 = 833.10 : x
  2. Step 2: Convert to fraction form
    1,319.82/1,978.29 = 833.10/x
  3. Step 3: Cross multiply
    1,319.82x = 1,978.29 × 833.10
  4. Step 4: Simplify right side
    1,319.82x = 1,648,113.40
  5. Step 5: Solve for x
    x = 1,648,113.40/1,319.82
  6. Step 6: Final answer
    x = 1,248.74

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