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Finding the Fourth Proportional to 1,046.58, 1,570.14 and 498.75

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Solution

The fourth proportional to 1,046.58, 1,570.14 and 498.75 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.58 : 1,570.14 = 498.75 : x
  2. Step 2: Convert to fraction form
    1,046.58/1,570.14 = 498.75/x
  3. Step 3: Cross multiply
    1,046.58x = 1,570.14 × 498.75
  4. Step 4: Simplify right side
    1,046.58x = 783,107.33
  5. Step 5: Solve for x
    x = 783,107.33/1,046.58
  6. Step 6: Final answer
    x = 748.25

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