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Finding the Fourth Proportional to 1,258.12, 1,733.16 and 1,024.84

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Solution

The fourth proportional to 1,258.12, 1,733.16 and 1,024.84 is: 1,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.12 : 1,733.16 = 1,024.84 : x
  2. Step 2: Convert to fraction form
    1,258.12/1,733.16 = 1,024.84/x
  3. Step 3: Cross multiply
    1,258.12x = 1,733.16 × 1,024.84
  4. Step 4: Simplify right side
    1,258.12x = 1,776,211.69
  5. Step 5: Solve for x
    x = 1,776,211.69/1,258.12
  6. Step 6: Final answer
    x = 1,411.80

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